Correct me if I'm wrong, but from what I understand, unlike the other major sports, MLB isn't officially affiliated with their Hall of Fame, however they obviously have a very close partnership. Because of this, even though they have the right to induct Pete Rose, out of respect for MLB's wishes, he's out.
Assuming this is true, could they keep the ban, however MLB "give their blessing" so to say, to allow him to be inducted?