Didn't one of the 2k games have it were it was almost a mini game? I vaguely remember the need to mash y on xbox in one of the versions to argue. (newer than 05, thinking like 08ish) Unless I was dreaming that
EDIT:
found it on wiki it was 2k7
"Other additions include a ramped up player and manager ejection system, including a minigame in which the player controlling the manager will tap a button to argue with the umpire; in multiplayer, the opponent will take control of the umpire and try to precision tap a button to eject the opponent's manager. A managerial ejection will cause the player's team to be controlled by the CPU"