Monte was not a recruiter either. You can afford to keep a coach or two on as non-recruiters as long as you have strong recruiters complimenting the non-recruiters. Fulmer once was a top recruiter. Once that left him, he lost his biggest advantage to being a top coach. I was a Fulmer fan and still like him but realize it was time for him to go. When he was at the top of his game, he out talented people and never was a gameday coach who could out coach the other side of the field. This was even true during the 98 season.
Fulmer was still a good recruiter; the problem was he couldn't overcome the geographic disadvantage in going against Saban for recruits in Alabama's regional wheelhouse, or Richt in Georgia's wheelhouse, or Meyer in Florida's wheelhouse, or Brown in Texas' wheelhouse, or Carroll in USC' wheelhouse, etc. I have a newsflash for Tennessee fans -- neither did Kiffin and nor is Dooley.