I am not a gamecube gamer but if it is set up like the xbox it wouldn't work. If I understand correctly all the games are tweaked to run on the specific hardware, not like on a computer where you can run the games on all different hardware. Anyway, if you OC/ed and xbox the games would run faster than usual. I mean this as in you have a timer in game that counts down in 1 second intervals. When you OC the processor everything is sped up so in one real life second the game could have already counted two seconds.

Correct me if I am wrong (literally). Also I am sorry if I sound like a newb, I am not to solid on this stuff, but this is just what I have picked up over time.