I don't see what that distinction has to do with the conversation at hand.
Much of what is in the stage production of Beauty And The Beast, hit songs included, was already in the film. I'm not going to try to call it a revival obviously, but I daresay that the animated musical version of Beauty was MUCH more popular than the original production of Chicago. So I don't really think you can make the argument to exclude one over the other, based on what came before their current productions.
But as I said, I don't think this has anything to do with the discussion.