Spin/cartwheel perfect dodges are now in Genshin. Time slow on perfect dodge and deflecting are indeed from Zenless. The sprint mechanic in Genshin vs Nier is kinda nitpicky because prior to 1.1 the bind for dodge and sprint were the same on controller, the same as Nier.
Which spin/cartwheel perfect dodge is in Genshin? I'm genuinely not sure what you are referring to.
Genshin has a dash dodge which can work as a "perfect dodge" but it is a rather generic dodge system that has no particular similarity to Nier Automata and there is no spin/cartwheel. As far as I know, no cartwheel dodge in Genshin (unless there exists a specific character on the roster who may have a cartwheel/spin dodge as a unique skill)
Neither Nier nor Genshin set an example for open world and progression so I'm not going to address them. On the other hand, Platinum absolutely did set an example with movement and combat compared to other third person action games at the time. You can see how their design choices inspired mechanics in Genshin, Zenless, and a plethora of other games afterwards.
You mentioned Genshin's character switch mechanic. But what about the ability to switch mid-combo between any 2 of 25 possible weapon loadouts and any 3 of 17^3 pod combinations in Nier? That's on top of 2.1 unique movesets.
Movement wise, Genshin has aquatic activities over Nier. Swimming was at launch but underwater content was added later. However on land and in the air, Nier has a direct analogue to anything Genshin has.
Note how the standout aspects of moment to moment gameplay in Nier was borrowed and iterated upon by Mihoyo in their games.
I'm not sure what this is meant to indicate -- my argument isn't comparing between Nier Automata and Genshin as to which is a superior game -- as a single purchase, self contained game with a proper skill tree, I would put Automata above Genshin every day of the week.
(I also don't know why you are citing my statement about the character swap mechanic here -- it is completely irrelevant to our discussion because I wrote that as part of the discussion with Eventine about the role that game mechanic iteration plays in game development, where Genshin was an example he had nominated as being a copy of Breath of the Wild. I was arguing that actually Genshin was not a simple copy of BoTW and has sufficient unique and distinctive traits including the character swap mechanic, that it deserved to be considered unique in its own right.)
I feel like this discussion is losing the plot a little, and while the games aren't ones I particularly feel strongly about, the sheer strangeness of the statement is what has caused me to continue.
After the conversation that's occurred, do you stand by what you wrote before: "Genshin pulled basically everything from Nier Automata"?
If you retract it, then no worries, we can end it here. And as I wrote from the beginning, there are one or two minor aesthetic similarities for specific character weapon movements and the weapon-floating-behind-character thing, so you're not incorrect to say that there are some similarities between Genshin and Automata.
If you maintain it, then I'd be genuinely confused as to how you can justify and back it up.