I don't agree with the way GhostFrog explained it, but you are wrong. Because you have to click during the window when your cursor is over the note aim and accuracy are intrinsically linked; this is the concept of hand synchronization. In an ideal world both your hands would sync to the timing of the map rather than each other, but it doesn't really work that way in practice since no one has perfect aim and accuracy, and the fact that hand synchronization is prioritized over precise individual timing means that if the player has good synchronization one hand will wait for the other if it lags behind, allowing the player to hit jumps that a player with worse synchronization would have missed, albeit with lower accuracy.