The fight songs have special meanings to the locals that outsiders won’t get.
For example, Bama’s fight song has the line: “remember the Rose Bowl we’re winning”. That might not mean much to folks outside Alabama and certainly folks outside the southeast. But that line is in reference to Bama winning the Rose Bowl in 1926 and bringing respect to the south using a sport popular at the time with ivy league schools. The south had been trying to get some respect ever since losing the Civil War. Then Bama went on to dominate the Rose Bowl for a decade, so much that the sports writers got tired of writing about the Rose Bowl committee’s team choices (it was billed as the best team in the east vs the best team in the west, thus a national championship game much like we talk about the playoff committee today). So the sportswriters created the AP poll as a way to name someone else besides Alabama the best, regardless of if the Rose Bowl committee kept picking Bama every other year and Bama kept winning it. And it was successful for a few decades, Bama wasn’t the AP national champ until Bear Bryant.
If you don’t know the backstory to the fight songs then you don’t know why they mean as much to the locals.
So us Bama fans think of that when we sing “Remember the Rose Bowl we’re winning”.
Imported a few SouthWest Conference fight songs.
Texas A&M (with its stirring call to “Saw varsity’s horn’s off” ) is focused against the University of Texas ‘s longhorn mascot - which did get its horn’s pruned back in the 1920’s.