It does not. Anyway this question is about a hack so I think I should flag it. Try asking on GBA temp if you want to know.
If you use PkHex you can breed the hacked mons with no problem.
> You can't breed with them because they're not even real! At all! Unless, you make them real. The cheats probably only generate the pokemon, but not it's other necessary programming.
@TMD, I am pretty sure the action replay calls a class to generate the new pokemon object, but IDK how thy code the games and I am newb at programming