Allowing slower services like copper and wireless to arbitrarily define what "broadband" means to them would result in a disincentive to invest in faster technologies and the deception of consumers who think they're getting the same "high-speed" as their friends.
No it wouldn't. For those who actually care how much bandwidth they have, they'll be educated enough to know that "there's is better than their friend's". For the others, it really isn't a concern of there's.