Lyfe - Wednesday

Wednesday is the first operative you use and obtain in the game, meaning all players have immediate access to her from the very beginning of the game.
You can also try her out as a Trial Operative in Star Master at max level and with a good weapon, max-level logistics, max Neuronics/Deiwos, and max Manifestations.

Wednesday provides a fun and easy-to-play operative with decent mobility, and that the game gives you lots of Manifestation shards for her as well as a good 4* weapon (Work-in-Progress) means she is a very strong early-mid-game operative, but as a 4* operative she just doesn't have the damage to compete with 5* operatives for mid-endgame content.
Despite that, Wednesday is generally the easiest-to-use and most versatile 4* dps.

The game heavily recommends investing into her drones, and Trial versions of Wednesday always have investment into her drones, but despite that, and perhaps somewhat counter-intuitively, Wednesday's drones deal much less damage than her SMG, and with some investment and the right supports, Wednesday's SMG can deal literal orders of magnitude more damage than her drones.
If built and used properly, the damage of Wednesday's drones is functionally negligible.

The Basics

Role: [Early-Mid game] Main DPS
Deals Electric Damage
Weapon Type: SMG
Deals Ballistic damage
[Her drones deal Skill Damage]
Mobility is about average

How to use Lyfe - Wednesday

Use her standard skill off-cooldown
Use her ult against strong bosses or large groups.
Otherwise, just shoot stuff.

With high investment and good 5* supports, Wednesday's drones are so weak that you are better off never using her Standard Skill - it takes too much time for how little damage the drones actually do.

How to build Lyfe - Wednesday

Weapon: Work-in-Progress
(100 Battle Veteran can also be good)
Weapon Parts: ATK
Logistics Squad: Twilight (Amano-Iwato also great)
Basic: +10.0% ATK
(The second basic stat doesn't matter)
Special: +8.5% Electric Damage
Best supports for Wednesday:
Fritia - LIttle Sunshine
Yao - Quiet Quitter
Best 5*supports for Wednesday:
Tess - Phantasia
Marian - Aquila
Vidya - Celestial Swan
Yao - Nightglow

Specifics

Standard Attack

Wednesday's standard attack is just her shooting with her SMG.
Wednesday does have a high fire rate, large magazine capacity, and a quick reload, and thus on-average puts out bullets at a very high rate, but beyond that there's nothing special about her standard attack.

Passive Effect

Wednesday will passively summon a Raven drone, which will slowly shoot at enemies (Fire Rate = 1 shot per second), dealing Electrical damage.
Raven drones can't be targeted, damaged, or destroyed.
Raven drones have their own stats, and are unaffected by changes to Wednesday's stats, only being buffed by "Auxiliary Unit" buffs.

The Drones have an ATK stat equal to Wednesday's ATK at the time she created the drone - Any buffs or debuffs to Wednesday's ATK stat when she creates the drones will affect the drones, but once they've been created the drones ATK stat doesn't change, even if Wednesday's ATK changes (for example if a buff expires).

Standard Skill

Her Standard Skill summons 2 additional Raven drones to fire a missile barrage at the target.
The missiles deal less damage if hitting a previously-hit target, so this skill works better against groups than bosses, but it's still usable against everything.
The max damage that can be dealt to a single target is twice the damage of the first hit, or around 52% of Wednesday's ATK.
These extra drones stay around for 20s, and work the same way as her passive drone, firing at enemies every second.

Wednesday always has 1 drone all the time anyway due to her passive, and these two extra drones make a maximum of 3.
With her Neuronic buff, Wednesday's standard skill summons 2 extra drones, adding four, for 5 drones maximum.

The extra drones from this skill last 20 seconds, and this skill has a 25s cooldown, however since Wednesday's Neuronic buff means the duration of existing drones are reset whenever another operative support skill is used, this allows them to survive until Lyfe uses the skill again to refresh their duration.
This allows Wednesday 100% uptime on all of her drones provided she occasionally has another operative use a support ability, which is very easy to do and something you'll do naturally anyway in a lot of cases.

Note that her drone attacks are just regular projectiles and can miss, although they can't crit.
Her drones also do not have unlimited rage - if there are no targets near them they won't fire at anything, even if there are distant targets they have previously engaged.

Further note that if Wednesday already has some summoned drones from a previous use of the skill, then using the skill again doesn't overwrite the old drones - the old drones stay, and just have their duration refreshed. This means that you can't change the ATK stat of an existing drone, as using her Standard Skill again doesn't create a new drone.
If you want to buff Wednesday's ATK and have her create a stronger drone, then you need to wait for any existing drones to time out and despawn first.

Ultimate Skill

Wednesday creates a massive AoE that continually deals electrical damage to enemies within it.
With her Neuronic buff, this also refreshes the duration of all her Raven drones, and then increases the damage of them by 25% for duration of the ult.
The damage buff is nice, but her drones don't deal that much damage, so it's not a massive change to her dps.
Wednesday can get 100% uptime on her drones by occasionally using a support skill to refresh their durations, so the ult also refreshing them also isn't overly useful either.

Wednesday's ult is great against groups.
It's decent against bosses, and is worth using, but not the greatest overall dps increase against bosses.

Support Skill

Wednesday summons an AoE that deals electrical damage and paralyzes for 4 seconds.

Wednesday being one of the first operatives you have access to means she's also potentially one of the first operatives you might use as a support, however beyond that her support skill is very bad - the damage is poor and paralyze just isn't overly useful for endgame content or builds.

Wednesday is best played as a main dps - you should only use her as a support operative if you have literally no other operatives you can use instead.
Given that you get access to Fritia - Little Sunshine and Acacia - [Redacted] quite early in the game and who both work better as better supports than Wednesday, Wednesday isn't an operative you ever want to use as a support.
Wednesday is generally the strongest main DPS you'll have in the early game, whilst also being one of the worst supports, so using her as an early-game support isn't advised.

Weapon

Given that Wednesday is a 4* operative and is outclassed by all 5* operatives, you really don't want to give Wednesday a 5* weapon - that investment is better used on a 5* operative instead.
Work-in-Progress is Wednesday's signature 4* SMG that the game gives you for free for completing the Main Story task "Destiny's Path", for beating story mission 124B-4.
Work-in-Progress is an extremely good weapon for Wednesday, and if Wednesday needs an Electric-damage weapon to match the damage-type of her skills/drones then W-i-P is actually her best weapon.
The TL:DR of this section is that you should just give Wednesday Work-in-Progress and be done with it.

100 Battle Veteran [This can be Wednesday's best weapon.]
100BV doesn't deal Electric-damage - it deals Chaos-damage.
100BV has a high Compatibility stat, and it deals more damage as the magazine depletes, making it the strongest SMG for Wednesday by a notable margin.
Wednesday constantly deals Electric-damage due to her drone[s], so her using 100BV means she will be dealing both Electric and Chaos damage at the same time.
This can cause some incompatibilities with some strong support effects (most notably with Vidya - Celestial Swan), which will limit Wednesday's effectiveness.
If you want to use Wednesday with one of those type-specific elements, then 100BV is a very bad weapon for Wednesday.
100BV is also a 5* weapon, and hence you're better off using it on a 5* operative if you have one that can use it.
100BV is a strong weapon, but not being usable with some strong support effects, as well as being a 5* weapon, mean Wednesday is generally just fine using W-i-P.
Work-in-Progress [This is generally Wednesday's best weapon.]
W-i-P is Wednesday's signature 4* SMG that the game gives you for free for completing the Main Story task "Destiny's Path", for beating story mission 124B-4.
W-i-P is a good Electric-damage SMG.
The effect is a PBAoE Electric-damage blast around the target hit, on a 5s cooldown.
The weapons high RoF and the effects long cooldown and mediocre damage mean the effects damage is functionally negligible.
Since Wednesday is a 4* operative, and thus not very storng, there's not much point in giving her a 5* weapon - those are better saved for your 5* operatives.
As such, W-i-P is generally the best weapon for Wednesday.
Starfall
The signature weapon of Yao - Nightglow, and the only 5* Electric-damage SMG.
Starfall's slightly higher Compatibility stat is countered by its slightly smaller Magazine size.
These two roughly cancel each other out, resulting in Starfall dealing about the same dps as W-i-P.
Given that Starfall is the signature 5* weapon of a 5* operative, the opportunity cost makes it worse than W-i-P for no actual benefit.
Napoleon in Black
This is the 3* Electrical SMG.
It gives +15-25% Electrical DMG as its T1-T5 buff, and has higher Compatibility stat (i.e. base damage), making it a decent choice
It gives less flat and percentage ATK, has a lower RoF, and has a smaller magazine, which means it doesn't really out-dps Work-in-Progress.
Work-in-Progress is the better weapon, but NiB is an ok choice.
Similarly, working out the maths for Divine Justice (Yao - Nightglow's signature 4* SMG) shows it to deal basically the same damage as Work-in-Progress, so there's no point using Divine Justice when you can just use the Work-in-Progress the game gives you.

As such, just give Wednesday Work-in-Progress, and if you don't have that yet then just use whatever you have that is highest-levelled or that you like the look of the most - you'll get W-i-P eventually, which is all Wednesday needs and wants.

As a Support Operative

If you did want to use Wednesday as a Support operative, her best weapons are:

Alloy Truth
Gives a nice ATK buff, based on Wednesday's Max HP, as well as a nice Crit DMG Amplifier buff.
Frigatebird
Gives the deployed operative an ATK buff based on Wednesdays ATK stat.
This is quite a nice ATK buff, and its 15s cd is quite good too

If you have 5* weapons, you probably also have 5* operatives too, in which case you should be using them instead of Wednesday.
Similarly, Wednesday is not a good support operative, so if you have an operative you want Wednesday to support, there are better supports you can use instead.

For Weapon Parts Wednesday wants maximum ATK to maximize her damage.

Manifestation

M1 gives Wednesday's drones a 10% chance to deal extra Electrical DMG
Note that this is basically a hitscan beam, and in-essence can't miss.
This deals roughly double the damage of a regular drone shot. (94.8% more, strictly)
M2 increases Raven attack speed by 1% for 3s per shot Lyfe fires.
Wednesday's extremely high rate-of-fire means this is quite a large increase in dps for the Ravens.
With a max of 100 stacks, Wednesday requires a RoF of 34 shots per second to max this, so Wednesday can't actually max this.
M3 means that shooting a weakspot always triggers the extra damage from M1, with a cooldown of 5s.
This isn't a massive increase to the drones' dps, and the drones are a minor part of Wednesday's dps anyway.
M4 increases the level of Wednesday's standard skill by 1, increasing Raven damage.
M5 increases the chance for the M1 damage buff from 10% to 30%.
Whilst tripling the chance is a nice dps increase to the drones, the extra attack is still a minor part of the drones dps.

Since Wednesday is a 4* operative, you will eventually max her to M5.
Given that the game gives you quite a lot of Manifestation shards for Wednesday from the Main Story Tasks, Wednesday will almost-certainly be the first operative you max the Manifestations of.

All of Wednesdays buffs make her Raven drones stronger, but the drones are so weak even that getting Wednesday to M5 is not actually a particularly large increase to her effective damage.

Logistics

The game recommends Usha squad for Wednesday, which buffs Auxiliary Unit strength and DMG.
Given how weak her drones are, most of Wednesday's damage will come from Wednesday herself, not her drones, so Usha doesn't do that much for her.
As such, what Wednesday wants is not buffs to her drones, but instead buffs to herself.

Remembering that her drones are pretty terrible, and her ult is also a pretty low amount of her total dps, it's easy to see that almost all of Wednesday's damage is the ballistic damage from her SMG.

As such, you want either:

The logistics squad that provides the most benefit to Wednesday's Electric ballistic damage
Both hipfire and ADS are fine - Wednesday is fine with both, so it's just personal preference.
The most buffs to the team when Wednesday is used as a support operative.

Using Wednesday as a Support

For endgame content there's really no reason to use Wednesday as a support, but there's also no reason to get a logistics squad for a support that's not even that good as a support in the early-game.
If you did want to use Wednesday as a Support, then Navigator or Twilight squad is her best bet (Navigator generally, but Twilight is good if supporting a Main DPS who deals Electric dmg).
(With ATK, Skill Haste, and Electrical DMG as stats.)
Again though, I don't recommend using Wednesday as a support.

Using Wednesday as a DPS

Since she's not a good support, I recommend you aim to get Wednesday a logistics squad that makes the most of her capabilities as a main DPS:

Twilight
After dealing DMG with an Active Skill or Auxiliary Unit, the target's Resistance to that type of DMG decreases by 16% for 5 sec.
Given that she always has a drone that fires every second, Twlight is basically a permanent -16% Electric DMG resistance to the target.
This isa really nice damage bonus, and it's completely passive for Wednesday too.
Twilight's 2/3 bonus is Skill Damage, which isn't good for Wednesday as her only source of Skill Damage is her ult, which doesn't do much dps, but the 3/3 Resistance debuff is very strong.
Amano-Iwato
Increases ADS Ballistic DMG by 10% after a crit. Max 5 Stacks. A great choice if you are ADS'ing with Wednesday.
If you only hipfire and don't ADS then it's obviously terrible.
Mingyi
When dealing Electrical DMG, increases ATK of the equipping operative by 1% for 3 sec. Max 45 stacks. Repeated triggers will reset the duration.
Still less total damage increase than Amano-Iwato, but again doesn't need ADS, and you can still stop part-way through magdumping to use a skill, which is nice.
Mizuho
When shooting continuously, each shot increases Ballistic DMG by 3%. Max 20 stacks.
Work-in-Progress' large magazine capacity allows you to get a very large average damage bonus from this.
Mizuho averages 39.5% Ballistic DMG over Wednesday's entire Work-in-Progress magazine.
This is less than Amano-Iwato, but you don't need to ADS to get it, although you do need to fully deplete the magazine in one go without stopping.
Given Wednesday's long skill cooldowns and terrible skills, this will happen most of the time anyway.

Yes, this means that Twilight is a fantastic squad for her as both a support and as a main DPS, so just go with Twilight squad - it allows her to work well as a dps, whilst also allowing her to still work well as a support once you start getting better operatives and don't need Wednesday as a dps any more.
If you did want to just use Wednesday as a support, then Navigator squad is her best choice, but it's not something she can use as a dps, so you'd need to change her squad later once you stopped using her as a dps and started wanting to use her as a support. It's not worth the investment to give her two squads though - it's better to just give her one squad that works for both.

If you don't care about using Wednesday as a support at all, then Amano-Iwato is a fantastic squad for her.
Whether Twilight or Amano-Iwato is better depends on which supports you are using to buff Wednesday, but either is fine.

Overall, just give Wednesday Twilight and be done with it.

Stats

For stats Wednesday wants +10.0% ATK.
For the Special talent, she wants 8.5% Electrical Damage

The game recommends Alignment Index, but Alignment Index boosts her drones damage, and given how little damage her drones do it's not worth it.

All stats other than ATK are mostly worthless for Wednesday.
Her drones missiles don't deal enough damage for Skill Haste to be overly useful, and she could maintain her drones by just having other operatives' Support Skills, so using her Standard Skill more often isn't very useful to her.
Wednesday has no S-Energy issues, so S-Energy Regen isn't useful, and she doesn't benefit that much from her ult either, so U-Energy regen isn't great.
HP and DEF don't affect her damage at all, and aren't something you'll want on Wednesday.
Wednesday can't heal or create shields.

This realistically leaves Shooting Crit Rate and Crit Dmg Amplifier.
Work-in-Progress has a very low CRIT DMG stat of just 30%, and Wedneday doesn't get any crit chance or crit dmg from any other source, so Crit DMG Amplifier isn't overly useful.
The only time that Wednesday will be doing a crit is if you've gotten some Shooting Crit Rate, or you're shooting at a weakspot (as weakspot hits always crit).

If you can aim at an enemies weakspot, and thus crit a lot, then Crit DMG Amplifier will be Wednesday's second best stat [after ATK], but her low base crit rate means that the damage increase isn't great.
Three max-roll Crit DMG Amplifier stats will increase the damage of her crits from 130% to 139.54%.

I'd recommend Crit DMG Amplifier as her second best stat, but Shooting Crit Rate is fine too - Since she's only a 4*, you should't re-roll for either of them anyway.

Wednesday is a 4* operative, so your resources are better spent on 5* operatives, not re-rolling cope stats for 4* operatives.

ATK is a very good logistics stat for Wednesday - the other stat does matter, but since it's never worth re-rolling them for a 4* operative, it really doesn't matter what the 2nd stat is.
I would generally advise against re-rolling any logistics stats for Wednesday - you are much better off using/saving those re-rolls for your 5* operatives, as you'll stop using your 4* operatives once you start getting some 5* operatives anyway, so it doesn't matter what stats Wednesday has.

Just give Wednesday the correct logistics squad, and get them to max level (Lvl. 15) - by the time you start to care about Wednesday's stats you'll have 5* operatives who are a much better use of your re-rolls.

Good Teammates for Wednesday

Wednesday wants Electrical, Ballistic, and ATK buffs, and to debuff the enemies DEF and Electrical Resistance.

If you only have access to 4* operatives to support Wednesday, then consider:

[Healer] Yao - Quiet Quitter
Yao creates a drone that provides ample PBAoE healing, which whilst not overly useful in endgame content, does make Wednesday much nicer to play.
For endgame content QQ is objectively worse than Eatchel - The Cub though.
Fritia - Little Sunshine
Little Sunshine can give an Aptitude buff that gives per-shot Thermal damage. Given how many shots Wednesday puts out this can translate to a lot of extra damage.
Any operative that can give out a useful buff, such as an operative using an ATK-buffing support weapon (Prismatic Igniter, Lapis Lazuli, Deep Sea's Call, etc.)

Wednesday deals less damage than most 5* operatives, so you shouldn't use a 5* support to support Wedensday, but if you did want to then consider:

Vidya - Celestial Swan
Vidya massive reduces the enemies DEF and Resistance, and buffs the teams damage a little too.
Vidya only debuffs the damage resistance of the damage type the enemy has most recently received.
As such, if using Celestial Swan, then make sure the other non-Vidya support isn't off-element to Lyfe.
(i.e. They either deal Electric damage or do not deal damage at all).
Yao - Nightglow
Wednesday can make full use of Nightglow's ATK, Ballistic, and crit buffs, and Nightglow is a fantastic support for Wednesday.
Note that Nightglow is on-element to Wednesday (Nightglow constantly deals Electric damage).
Tess - Phantasia
Tess adds Frost-damage to each shot, which Wednesday does a lot of, meaning Tess adds a huge amount of damage to Wednesday.
Tess does also give Wednesday some nice ballistic damage buffs, which is nice.
Phantasia is off-element to Wednesday (Tess deals Frost-damage).
Marian - Aquila
Aquila both buffs Wednesday's damage, but also deals some damage of her own, increasing the teams damage by a large amount.
Fenny - Starshine
Starshine gives some nice ATK and ballistic buffs, which increase Wednesday's damage significantly.
Eatchel - The Cub
A Blitzing Fangs M1 Eatchel provides healing as well as a decent ATK buff.
Not the strongest support, but still good.
Mauxir - Shadow Ka
Wednesday doesn't care that much about the utility of not having to aim, but the extra damage is nice.
Note that Shadow Ka is off-element to Wednesday (Shadow Ka deals Chaos damage)

Since Wednesday is a 4* operative, using the games strongest 5* supports to support her is a not an ideal way of playing.

Celestial Swan will massively boost the damage that Wednesday deals, and increases Wednesday's damage more than any other support operative, but, being a 4* operative, Wednesday doesn't actually deal that much damage, so Wednesday's best support is generally Phantasia, who can add a huge amount of damage to Wednesday due to Wednesday's extremely high average RoF.

Wednesday's best support combo's are generally:
Lyfe -Wednesday + Tess - Phantasia + Marian - Aquila
Lyfe -Wednesday + Vidya - Celestial Swan + Yao - Nightglow
Lyfe -Wednesday + Vidya - Celestial Swan + Fenny - Starshine

Where does most of Wednesday's damage come from?
...and what buffs it?

This section explains why Wednesday's drones kinda suck.
This is a much longer-winded explanation than normal as to how Wednesday's drones work, and why they are absolutely s**t.

If you just want the TL:DR, it's that Wednesday herself is doing most of her total dps and you should buff Wednesday and not her drones.

Here be maths. Ye have been warned.

Wednesday's SMG

Her SMG is buffed by all the things that you'd expect it to be buffed by: ATK, ballistic damage buffs, Electrical damage buffs, etc. ... Her SMG works exactly as you'd expect.

Raven Drones

All of Wednesdays drones can of course make full use of the extra damage gained from debuffing enemies DEF and Resistances, as expected.
Similarly, since they are Auxiliary Units, all Auxiliary Unit buffs always affect them.

Wednesday's passive causes her to summon a drone that is always with her.
Since this drone has unlimited duration and can't be destroyed, it's always there, and that means it inherits Wednesdays ATK at the start of the fight and then its stats never change - it's ATK is always 100% of what Wednesday's ATK was when the fight started.

Wednesdays Standard Skill causes her to summon 2 or 4 more drones (depending on if you have her Neuronics or not).
These inherit the ATK stat that Wednesday has at the time the drones are summoned.
This means that they will benefit from other ATK buffs that Wednesday has at the time that they are summoned.
This mean they will basically always deal equal to or more damage than the regular passive drone.

This means that ATK buffs benefit Wednesday more than other types of buff (e.g. electrical, ballistic), as the summoned drones can inherit Wednesday's ATK buffs, but can't inherit other buffs, such as for example buffs to electric damage.
Similarly, if you never bother to summon any extra drones, then since the passive drone is unaffected by any other buffs, you can just ignore buffing the drones ATK entirely.

Beyond that, the buffs the drones receive are extremely eclectic, and benefit from a small number of buffs.
Generally speaking, Aux Units:
are not "full squad"
are not a "deployed operative"
are an "ally operative"

Buffs that affect the drones are extremely scarce, and basically nothing actually buffs them other than ATK buffs.
Similarly, also note that everything that does affect the drones also affects Wednesday herself, with the one exception of Auxiliary Unit buffs.

In addition, if Wednesday gains an ATK buff, it only affects the drones if she summons the drones whilst she has the buff - if Wednesday doesn't have a buff when she summons the drones, then they don't get it, meaning it's possible for Wednesday to have 99% uptime on a certain ATK buff, but if she never has it when she summons her drones then her drones will never receive it.

Similarly, if Wednesday summons some drones that have no ATK buffs, then uses her standard skill whilst she has some ATK buffs, the old non-buffed drones will get their duration refreshed rather than being replaced with new drones.
This does mean that you can just buff Wednesday once and then keep her buffed drones up indefinitely, but it also means that if you summoned weak drones then you may have to avoid using support skills for the remainder of their duration so they don't refresh the drones and you can get rid of the older drones in order to replace them with more-buffed drones.

The TL:DR is that the summoned Ravens can be buffed by Wednesdays ATK buffs, but Wednesday can gain many buffs that don't affect the drones, and the drones themselves can be kinda finicky to use optimally.

Drone Missile Strike
This comes from the drones.
I.e. Wednesday uses the skill, which creates the drones (or refreshes the duration of existing drones, as above), who then use the missile strike themselves.
This means the drones' Missile Strike scales off of the drones' ATK at the time the skill is used, not Wednesdays.
This means that if any new buffs are gained/lost after using the skill but before the missiles hit, those buffs will not affect the missile damage.
I.e. You can't use the skill, buff yourself or the drones before the missiles hit, and have them deal increased damage.
This also means that since Lyfe is not the one actually using the skill, any buffs Lyfe gets to Skill DMG also do not apply to the missile strike.
(and the same for other types of buff - electrical dmg buffs, standard skill dmg buffs, etc. - nothing applies.)
Since the drones can't inherit any actual buffs from Wednesday, any buffs for Wednesday don't get transferred to the drones, so again - things like electrical or skill dmg buffs can never benefit the drones damage.

Each drone performs its own missile strike, and each drone is independent of every other drone.
This means that the "Each time a missile hits a part that was already hit, DMG dealt decreases by 50%" is done uniquely per drone - one drones hits don't reduce the damage of the other drones. Since the drones can't really get any buffs to DMG dealt, this is essentially functioning as a Final DMG modifier.

The damage of the first missile is 26% of Raven's ATK + 27, and 9 missiles are fired.
Assuming all missiles hit, the total damage inflicted is 51.898% of Raven's ATK + 279.
This means the total damage is almost exactly twice the damage of the first missile hit.
For 5 Ravens this is a total of around 12,500 damage at 4,500 ATK.

Wednesday vs Her Drones
The summoned drones inherit Wednesday's ATK at the time of their creation, so 4 of Wednesdays drones also benefit from any ATK buffs you can give them.
Since you can extend the duration of her drones, you can potentially keep her drones with very high ATK for longer than normal.
E.g. If an ATK buff normally has 50% uptime, then you can use if when the drones are created and then keep the drones up, potentially allowing them 100% buff uptime.

Wednesday's drones deal (7.7% of Raven's ATK + 7) DMG each shot, and each drone shoots around once per second.
Since you can maintain 100% uptime on all 5 drones, this means that her drones are doing ( 7.7% + 7 )*5 = (38.5% ATK + 35) damage per second.
At 4,500 ATK this is 353.5 dps per drone, or 1,767.5 dps total over 5 drones.
Factoring in the extra RoF the drones get from Wednesday's M2 bonus, this is increased by 33.27%, up to 2,356 dps
(This will be slightly less in practice as Wednesday has to stop shooting to use her skills, as well as Wednesday missing some shots which reduces her M2 bonus.)

The missiles do an extra (51.9%+279) every 25s, for each of the 5 summoned drones.
Over the 25 second cooldown this averages around 103 dps per raven, for a total dps for the 5 ravens of 515 dps.

If Wednesday is at M5, each shot from her drones have a 30% chance to also deal 15% of their ATK as a Whispering Arrow.
Assuming Wednesday is dealing weakspot damage every 5s to proc her M3 bonus too, this means each drone is averaging one Whispering Arrow every 2s, for an extra 15% /s
15% /s is an extra 675 dps, per Raven, which is an extra 3,375 dps for all 5 Ravens.

In total, this adds up to 2,356 + 515 + 3,375 = 6,246 dps
Again, this is increased by ATK as well as Auxiliary Unit Bonus.

Her Aux unit buffs would be her Usha 2/3 bonus (24%), her Usha 3/3 bonus (42%), Deiwos (36%), logistics (31.8%), and her Alignment Index (30.9% at 618 Alignment Index).
This totals 164.7%.

This means that for a 4,500 ATK Wednesday, her drones have a max theoretical dps (excluding ATK buffs) of 16,533 dps

Assuming Wednesday has around 4,500 ATK, then factoring in Compatibility, Ammo Capacity, RoF, and Reload Speed for a max-level Work-in-Progress, then a 4,500 ATK Wednesday is going to be dealing around 14,734 dps just from the bullets from her Work-in-Progress.

This means that even at absolutely maximum investment and under perfect conditions, her drones deal roughly the same damage as Wednesday deals whilst Wednesday is completely unbuffed.
A completely unbuffed Wednesday shooting at an enemy weakspot deals around 15% more damage than her drones do with max investment and under perfect conditions.
(As weakspot hits always crit, which increases Wednesday's damage. The drones can't crit.)

Even adding in some relatively minor buffs for Wednesday causes her to out-damage her drones by a notable amount.
Wednesday will of course also be buffed by ATK buffs as well, but she also gains damage from her crits as well as from ballistic dmg, electrical dmg, and aptitude buffs.
Things like crit and electrical damage buffs stack multiplicatively with ATK buffs, allowing Wednesday higher damage than her drones when Wednesday has many buffs.

So, is it ever actually worth it to invest into Wednesday's drones?
In a vacuum - no. Wednesday deals so much more damage than her drones that even a minor buff for Wednesday is worth more than a major buff for her drones.
(Usha squad adds 66% to her drones. To get the same damage increase to her SMG's damage, Wednesday herself would only need a ~30% increase in a worst-case scenario.)

Outside of a vacuum - Wednesday is one of your teams three operatives.
If you are using her drones then Wednesday is your dps operative, meaning she has two support operatives to buff her damage.
Whilst there are many support operatives that provide only ATK buffs (and thus buff her drones and herself equally), for most support operatives they provide many buffs, all of which can benefit Wednesday, but only some of which (i.e. the ATK buffs) buff her drones.
This means that almost all support operatives provide a larger damage buff to Wednesday than they do to her drones.
Given that even some of the support abilities you gain access to very early in the game can buff Wednesday quite a lot, there is no scenario where investing into Wednesday's drones provides a larger dps increase than investing into the dps of Wednesday's SMG.

To put this another way:
Wednesdays drones deal 7.7% dps per drone, or 38.5% dps for all 5 drones.
Wednesdays SMG deals 29.52% per shot, and after factoring in reloading Wednesday fires at an average rate of 11.1 shots per second, for around 325% total dps.
As such, her drones shots deal a tiny fraction of the damage of her SMG.
Her drones' skills and buffs are not enough to make them good.
Even with all of your buffs and investment buffing the drones, her drones still aren't likely to be doing the majority of Wednesday's damage.

TL:DR (Again): Wednesday's drones are terrible, and you shouldn't invest into them.

As an actual real-world (or... in-game) example, I do sometimes do Neural Simulation and Supreme Battleground runs with Wednesday, just for fun.
In Neural Sim, for me, most of the teams damage comes from the extra damage that Tess - Phantasia adds to Wednesday's shots, although Wednesday can do ok if she's given supports like Celestial Swan and Nightglow.
With the right supports, Wednesday can do several hundred thousand dps in Supreme Battleground and Neural Sim.
Even with Usha squad though, my Wednesday's drones usually only do a few hundred damage per shot, and they generally average maybe 1.0% of her damage at best, and less than 0.1% of her damage at worst.