I live in NOLA and share Saints season tix with my brother-in-law. Personally, I think he's more likely to make things worse. It's been a weird season. I was at the Bucs game when he injured his back. Midway through the 3rd he started spraying the ball all over the place, even more erratic than normal, and looked like crap until he went out. The offense runs smoother with Dalton, and they're actually moving the ball well, they just keep coughing it up. They've also been snake bitten with injuries, which hasn't helped.
Personally, I think the team was just sharper under Payton because he was more of a taskmaster. I think Dennis Allen is a bit milquetoast and it shows in the team's lack of execution.