[interroboink]

This depends on the game, a bit. I believe you are talking about reacting to unplanned events. For some games, such as beat-matching ones, where players might have patterns memorized, smaller latencies matter. I remember working on PS game, where Sony requested that we poll input faster than our 60Hz refresh rate so we could apply special "super accurate" bonuses for players that could hit things within such tiny thresholds.

Apparently in Japan where such games are especially popular (or were at the time), players really do appreciate such razor-thin input timing margins.