Zero question. Yes.

The actual formula is somewhat complex, since it uses a lot of other variables - but most of them are just multiplicatively applied, so they apply equally to each. Looking simplistically,

DMG = Atk * (1 - CR + CR * (1 + CD))

If you have 100% CR, the formula becomes even simpler:

DMG = ATK * (1 + CD)

So, in your first case, 3154 * 2.35 = 7411.9, and in your second case, 2957 * 2.7 = 7983.9, meaning, you're gaining about 7.7% more damage from the swap.

Thanks for the fast reply. Would the new Phantom Touch change anything as that scales with ap?

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What kind of unkillable are you running? If your Banshee is 100% protected for the 50 turns, I'd look to boosting ATK and crit damage at the expense of her survivability? 

Maneater/Pain Keeper/Geo (stun target)

The budget comp. Lowering the defense stats would make them stun-targets. And getting geo into some better equip without making him stronger in stats i dont want is kind of ... uh ^^

Yeah - that'll definitely influence things. Phantom Touch has a 5X ATK multiplier - but it can't crit. I'd need to do some more in-depth analysis to see just how much it tilts the balance between CDMG and ATK. 

With the current setup of my banshee it gives here 1,5-2 million more dmg per key on UNM (50 rounds). That what was a huge boost for me and pushed me over the edge of getting a 2 key run in 99% of the time.

But as my Fayne aint having a soul i think i will gonna use your formula to update here. Thanks a lot so far :)