Perhaps but coaches make decisions about their career based on more things than just the current state of the football organization and the money that comes with the position.
Coaches are still people and people based decision making is always going to play a role. Most any coach may feel better about one job or another, but ultimately they will believe if not restricted that they can turn things around on the football field.
But what of the people decisions, what family connections do I have to the area? How are the schools? What does the community look like for my spouse and family? Can my family pursue their hobbies? Are we going to be comfortable living there? New Orleans has plenty going for it, particularly for the right candidate.