This is incorrect. The Florida-Florida State matchup was not a BCS national championship game. This was played following the 1996 season and the BCS was created in 1998. It may have been a product of the Bowl Alliance, which did not include the Pac 10 and Big 10 and never purported to match the two best teams in the country against each other. There would be no precedent for an SEC rematch in a title game.
To that point, neither Florida nor even Alabama really stand out this year based on schedule alone. If Florida came out the loser in this hypothetical overtime thriller, they would've beaten a grand total of one (and that one is a highly suspect LSU that will likely clock in somewhere around 15 in the rankings) ranked team that year. Thats not exactly a team that has a great argument for a rematch. Alabama has played a better schedule, but even with them, their best wins don't necessarily prove they deserve a shot. LSU, Ole Miss, and Virginia Tech are all decent, but none signal they deserve a second bite at the apple.
Not to mention this SEC Loser isn't just competing with hypothetical undefeated mid majors and Cinci, but could also have a one loss Georgia Tech to contend with.