There are always going to be things and factors that don't go right for a team. The difference between good and bad teams is there ability to overcome these challenges. By most metrics, the most injured team last year wasn't the Saints, but was actually the 15-2 Lions. Injuries sucked, sure. Dennis Allen was really bad, sure. But ever since Brees retired, we've supposedly been one thing away from winning. And while it was fair to chase it in the past, I think over the past 5 years of failure it's been made pretty clear the team has just been bad.
All ties to the past have been cut with the new coaching hires. It's a new era for the Saints. They will try and win now, of course, but they will equally consider what needs to be done to win over the next decade. So expect the staff to focus on improving more than just health.