There are little plugins you can buy that transfer all keyboard inputs to controller, but I'm pretty sure they are expensive. I have encountered around 2-3 people that LOOKED like they were using K&M. I.E. Lots of flicking and rapid movements. No smooth movements at all. But they could just be playing weird who knows.
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Google it.
Its a matter of what games are compatible on PS4. However I am not going to list them since we are not here to discus other games.