I've always felt that the optimal approach would be that each ticket includes 1 checked bag. Sure, there are some "I'll never check anything ever" people out there, but allow people 1 checked bag and you'll move enough bags out of the cabin to end the, uh, "crisis".

It seems like 10-15 years ago, we pivoted rapidly from the prevailing standard that you could check 2 bags to a new standard of ZERO checked bags. Thus creating a push to bring as much as possible into the aircraft cabin.

I know airlines like to dangle the "free" checked bag with their credit cards and whatnot, but that's clearly not enough to vastly change how much crap people try to bring onboard.