For an NFL franchise conducting a search for a new head coach, there are some obvious negatives associated with the process, the largest being that your team does not happen to have a head coach.
Talent is talent, and money is money, but nothing shapes a team's direction and prospects for success like the head coach. He institutes the system, directs the training and coaching programs, and imparts the confidence (or lack thereof) throughout the organization that things are on the right path.
To be without a head coach is to be temporarily rudderless, whether the previous occupant of the office has retired, run the course to a mutual parting, or been fired.