vawrvawerawe, given your general impatience and defensiveness, I have serious doubts that you are anywhere over the age of 16.
Regardless, you are assuming your reaction time is on the order of ten-thousandths of a second. If you and your friends indeed have that kind of superhuman reflexes, there are plenty of studies that would pay you well for your participation.
Also, the human eye doesn't really notice anything over 30 FPS. The whole 60 FPS standard is used as a buffer for more intense scenes where the frame rate may take a dip. This means if one player has 120 FPS while another player has 800 FPS (and assuming monitors actually outputting such refresh rates), there isn't going to be any real advantage. Again, if you and your friends have such superhuman visual intake capabilities, there are plenty of studies willing to pay you well for your participation.
So even with astronomically high frame rates, and lightning fast reflexes (AND a ludicrous USB polling rate to support that), it would still depend on the game client sending commands to the server. Why? Lag/ping is usually on the order of milliseconds (1/1,000th of a second). If you really have that 1/10 of a thousand of a second reflexes (1/10,000th of a second) and the hardware setup to support that, then the signal to the server is the slowest thing in the chain.
For us mere mortals, it's mostly personal reaction time that's the weakest link. However in bad cases of lag, a player can run his game at 120+ FPS but his updates may not be reaching the server as fast as another player running his game at 30 FPS. In that case, the 30 FPS player can get his commands to the server faster and thus has "quicker reaction time". The flip case can also apply. A player may have a great connection, but his FPS may be crap (32X anti-aliasing on a low-end GPU, for example). Updates to the server will be sent and received quickly, but it won't be shown to the player. So even at 3 FPS, that player's commands may register faster than other players running at a higher FPS. But at 3 FPS, the screen is not likely to display relevant info.