"winmillion's first hit + charge"
Please clarify this about the charge. Do you mean to say that Winmillion should move the player when using a charge attack like that of all the other swords? Would the player move during the initial aim of the charge, or the final aim of the charge, or what?

"wild hunting blade's hits including those on the charge"
So the charge attack would be like a regular attack combo, but does more damage and you can't stop it and you have limited turning radius?
And when would you use this charge? It would not be safe to use against a crowd because you would stagger nobody. You would not be able to hit a single target unless it's stuck against a corner (because you would slide past your target). I think it would make the charge less useful. Something I'd change for this charge attack would be to make it aimable throughout the whole charge.

"I could also see leviathan blade and cold iron vanquisher getting this changed for their first hit,"
Really? Leviathan Blade is supposed to be standard equipment, and unless all swords get the same treatment and movement on the first strike is considered standard, this change should not apply to Levi or CiV.

"as well as possibly fang of vog on all 3 of its normal hits."
As for FoV, whatever. It's a special weapon. If there was movement on the first strike, then it would also have pseudo-increased range like it has on the 2nd and 3rd strikes. It'd be cool for me because I usually use the 2nd strike for spacing in LD (though there are better options), and not having to do the 1st strike to preempt the 2nd strike would be nice.
But... what do you mean by "on all 3 of its normal hits." What? Isn't there forward movement on the 2nd and 3rd strikes or have I been playing a different game?

"winmillion would be able to trigger switches with its projectile without slowing you down massively"
I disagree with this statement that it would result in a massive difference. Unlike the Tortofist where the bullet is fired after the punch, the Winmillion bullet is fired at the same time as the swing.
Most of the time switches are perpendicular to where you want to go, and knowing that Winmillion bullets are fired at the same time as the swing, the only difference is that you move forward after the bullet is fired (which isn't much when, in this case, you're usually moving forward in a direction perpendicular to where you want to go).

Having movement on the Cutter 1st strike is something I suggested or supported before. But I would also change the Cutter to have an infinite attack combo, because the 5th attack of combo is barely useful. Only the DVS would stagger some enemies if all hits from an attack combo hit an enemy. The WHB does not have this staggering issue (IIRC), and rarely would a DVS user actually do a full attack combo with the intent to stagger an enemy because that isn't reliable and safe.

You're overstating the problems of these swords... Cutters are not "absurdly dangerous" to use, Levi and CiV are already more flexible than the brandishes..., FoV hits are not underwhelming; they're okay for out-spacing and proc fire quite well (the only issue is that they're slow, but if you fixed its slowness you'd remove its pseudo-increased range).

tl;dr
Cutter first hits: +1
Winmillion and FoV first hit & Winmillion charge: sure?
Everything else: nope
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@Holy
I kind of like the Troika. I don't think I'd like your version. I could get used to the first change you proposed, but for your second change, a lot of the time I'll try to space out the charge attack and hit enemies that are on hazards or enemies that aren't safe to be close to (which your change would remove Troika's ability to do so).