Or, to put that another way: there's no real difference between a bug introduced by wrapping a game in an imperfect emulator, and a bug introduced during recompilation/porting/remastering of the game. Either way, you now have a new "variant" of the game with its own bugs, but one which is also a canonical, supported release of the game.
Interestingly, sometimes—because of one of these slight variances—the fastest [and so preferred] version of a game to speedrun, is a Nintendo-sanctioned emulated (e.g. Virtual Console) release of the game. It says something important, I think, that these releases of the game aren't automatically shunned by the speedrunning community, the way that runs of the game under an arbitrary emulator on someone's PC would be; but rather are just treated as their own separate category-set, in the same way the speedrunning community differentiates different region releases, or version releases, or port/remaster releases.