It's actually a really good analogy, as Drew Brees is essentially Dan Fouts with the ring.
Two points though, that I feel separate Payton from Don Coryell.
First of all, Sean Payton has a much better postseason record. Coryell was an innovator, and put up incredible numbers, but he didn't win enough when the chips were down.
Secondly, New Orleans doesn't have a problem with complacency. If anything, they've been over aggressive at trying to fix the issues that the team has had. In hindsight, they should have left well enough alone with Jenkins and Harper in the secondary, but they decided to go in a different direction to hopefully give them that boost they felt was necessary to get over the hump. Byrd obviously hasn't worked out like we all had hoped, but that doesn't change the fact that an aggressive move was made to try and improve what they determined to be a weak spot on the team.
Having said that, I think it's a travesty that Don Coryell is not in the Hall of Fame. Look at his coaching tree, and see all of the people who were assisted by his coaching style, and who took his offense and utilized it to win Super Bowls. Yes, he did take some of Sid Gillman's concepts and expound upon them, and in some people's eyes that takes away his title as an innovator. But what he did with those concepts changed the face of football, and it's greatly contributed to the game that we have today that is so popular.