If you're training at an elite gym, chances are you already know breakfalls and thats why they don't teach them.
My thought is that if you know how to breakfall but don't want to give your opponent the win, its your choice to post or try twist out in midair. It'd have to be international comp for me to risk serious injury like that but to each his own.
people have been known to let their elbow get dislocated at a local naga tourney so...