"Any player responding to ingame events (enemy appeared) with sub 80ms reaction times consistently should be an automatic ban."
Can you define what "reacting" means exactly in a shooter, that you can spot it in game data reliable to apply automatic bans?
Anisotropic mouse movement?
Or perhaps the 0ms-80ms distribution of mouse movement matches the >80ms mouse movement distribution within some bounds. I'm thinking KL divergence between the two.
The Kolmogorov-Smirnov Test for two-dimensional data?
There's a lot of interesting possible approaches that can be tuned for arbitrary sensitivity and specificity.