How sensitive is each SEC fanbase?
This list get difficult to rank in a hurry.
As full disclosure I spent four years in the great state of South Carolina. The USC vs Clemson rivalry is one of the more under the radar rivalries in college athletics, mostly because both USC and Clemson were equally bad for a long time and their end of season game was the only thing that gave hope.
Sure Gamecock fans were a little spoiled in the Steve Spurrier era, but long time fans of the program know exactly who the Gamecocks are and what their realistic ceiling is.