I do root against them. Not only because I hate both programs and their fan bases, but also because their failures ultimately help us.
I do understand what you are saying that we determine our own success. I agree with that, but FSU’s and UF’s lack of success can help us in the recruiting and portal battles. Winning those battles should in theory make us better, as we are technically getting the better, more talented players.
Our main goal is to worry about our team and focus on our own success, but I can still root against our rivals in the process. I think that’s part of the college football experience.