One additional rule would be that the run must be done on a fresh streak (i.e. starting at Battle #1, as opposed to 50, 99, 148, etc.). This is because Palmer's dialogue changes after the initial streak of 49.

Would it be possible to add a category for Battle Tower? I did a run of it using the same timing method as HGSS Battle Tower. Notable differences are that the in-game bgm needs to be muted to go faster; and also the ability to have multiple teams ready in the PC ahead of time.