I have two problems with rematches.
The refrain most commonly heard in lobbying for a playoff is to let the teams "prove it on the field".
So if it is Texas and
OSU in Glendale let's cancel the game because there is nothing left to prove. Which leads to the second point.
A rematch is inherently unfair to the team that won the first time. We have already hung the Longhorn's scalp on our belt. If we win the second time we have nothing we didn't have already. If we lose it is as though the first game never happened.
I am OK with rematches provided there is third game if the first two have opposite results. That would be fair.
But you are correct, everyone sees it differently.