Don't pencil in the whole series - Double Dash, at least, didn't seem to have any rubber-band AI at all. It gave better items to karts that were doing worse, but that works for the player as well as the AI.
Ah, exceptions to rules often cramp my style. I need to hunt down Double Dash, and someone to play it with me, since I've never owned the game. I rented it once, though.