Does it matter? Do you think Gayle Benson will go out and pay over odds for a premier head coach? Do you think Mickey Loomis will trust a young college coach/coordinator as a bold hire (one that will put Loomis on the hot seat for making a big decision)? I think Sean Payton left at the right time, understanding how impossible it is for an organization to be fresh and renewed with the same leadership. Frankly big changes need to be made, but I seriously doubt Gayle is the type to do that. She wasn't a risk taker like Tom Benson, who invested his own money into the NFL with the Saints. She got it all by marriage, and regardless of how deep her connections to NOLA are and her love of this place the Saints are not nearly as essential in her computing of that love as say, the diocese. The Saints are her business, not her passion.
Changes will happen, but I would be surprised if they were innovative or fantastic. And that is what we need now more than ever.
Edit: this is a bit of my frustration talking. Gayle has paid in the past (and continues to do so with players) but the general vibe I draw from how Payton's leaving has been handled is one of overwhelming conservatism. It feels like middle management is in charge, and the company is doomed by small cuts now.