IIRC the acceleration curves supported by Sway are the same as libinput, at least that’s how I understood the poor pieces of Dokumentation I found [1]. I don’t think think libinput supports offsets and upper limits, so it’s not really useful for gaming.
I’d recommend going with leetmouse, which does work well (altough I don’t use it anymore).
leetmouse by systemofapwne is more up to date and includes the PR of N-R-K [2].
Analogue likely doesn’t emulate the hardware at the transistor level, as it’s far more difficult than doing what most software emulators do.
From an interesting (altough non-conclusive) HN-thread [1].
[1] https://news.ycombinator.com/item?id=37901381