Your observation of micro movements of the mouse causing issues is hitting the nail on the head. This movement comes from the wrist and should be avoided.

All pro gamers use a somewhat low sensitivity which forces the movement to come from the forearm instead of the wrist. Higher accuracy isn't the only reason, you'll get chronic wrist pain within a couple of months if the mouse movement comes from your wrist.

I'd recommend at least 20cm/360, better 25+. No accel.