I have the utmost respect for what Coach Fulmer accomplished at UT and no head coach, arguably, cared more deeply about the university than Phil. In comparing the legacies of Fulmer and Neyland, however, it is important to remember that, first of all, Neyland put Tennessee on the proverbial college football map and amassed the winningest record in the country during his tenure.
Furthermore, his legacy persisted for generations. Listen to the comments of his contmporaries on this documentary,
General Robert Neyland "The Man and the Legend" - YouTube. Therein, Wallace Wade, who was Alabama's first great coach, described Neyland as the "best football coach I've ever competed against." Even more importantly, Neyland's coaching tree, arguably, is still alive. In addition to the many Neyland players who went on to coach at Tennessee for decades after Neyland's retirement, you will find on its upper and outermost branches, Will Muschamp and Nick Saban. If you don't believe me, look at this article:
Muschamp's coaching bloodlines. Saban's perfectionism, his hard-nosed, rock-ribbed defense and smash-mouth offense, predicated on its running game, are all reminiscent of Neyland's approach to the game.