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

I think removing the 2 seed bye may lead to teams resting in Week 17 instead of fighting for the other bye. What would we have done last year? Would it have made a difference?
That's an interesting point. The odds were slim for getting a bye as it was. Someone refresh my memory: were there additional significant injuries from the Saints' last regular season game?