I admit you got me mildly anmoyed with the sports nonsense, sorry about that.

Anyway, you're talking about reaction time, which isn't actually relevant. The time between an action (pressing a button, or flipping a switch) and seeing the result happen isn't the same as the time it takes you to re-act to that something. Flip a light switch, does the light turn off instantly, or does it take a full third of a second? I guarantee you can tell the difference. 300ms of latency is actually huge and easily perceptible, even if it's faster than you can react.