What if NFL 7-seeds had made the playoffs over the last 10 years? (Saints playoff implications)

Having only 1 bye per conference will be a complete disaster and will be reversed before the end of this new agreement.
Why would it be a disaster? I like the idea of only the team with the best record secures the only bye for the playoffs. One spot, one team with the best record secures a week of rest and they’ve earned it. Screw the second best team also gets a week off, there isn’t a 2nd place trophy for the Super Bowl.