I for one agree with Kat about liking the idea that they are rejects who can't take no for an answer. It really all depends though on whether they're actually really any good or not. If they are actually heroes in training then it does make sense for them to be part of the acadamy. if on the other hand they're going to be the light relief to the more serious escapades of the Legion then they should be like they originally were, a group of rejects who set up their own club.
Which of course then begs the question, what would their reboot selves actually be like?