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.
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.