Was Phil Fulmer a better coach than Mack Brown?

If you compare Fulmer's tenure at Tennessee to Mack Brown's tenure at Texas, their accomplishments are pretty much identical. Both men coached in three conference championship games and won two conference championships and a national title. Spurrier always seemed to have Fulmer's number while Stoops has been more successful than Brown (7 conference championships to 2). There is one big difference. Mack Brown has won four BCS bowl games while Fulmer has won only one. However, Fulmer's been the beneficiary of same bad luck. '95 Tennessee would have made a BCS bowl game in this game, '97 Tennessee had the misfortune of playing mid '90s Nebraska when they were in the midst of that unbelievable run, and '01 Tennessee didn't make a BCS bowl game despite having the same number of losses as Florida and beating them on their home field. Also, Tennessee doesn't have the in-state talent advantage of Texas. I don't understand why Mack Brown seems to be so much more highly regarded than Fulmer as a coach. At worst, I think it's a push. At best, I have to give the advantage to Fulmer because it's much tougher to win at Tennessee than it is to win at Texas.