they won't be there if you're in a fight.. if they are then damn, that's awesome! but seriously.. the teacher is important, but when the **** hits the fan it's up to you to protect yourself.. isn't that what matters? guess not. whether people seek after instant credibility (oh i trained under mr xyz), or somehow believe that learning from a big name is going to MAKE them better, it's pretty silly to me.
you might learn a few more tidbits... if you can get in some 1 on 1 time. otherwise you'd probably be better off with one of their students with more personal attention.., but really, its about the individual not the lineage.