Baseline could be weakened a tad, but I don't think it is that bad as of now (however, that's entirely my opinion). I think it would be more effective if they took a longer span of time than 4 seasons to adjust people's prestige.
This game isn't real life, but it attempts to mirror real life so - Butler basketball went S16, 2nd rd., 1st rd., NC game, NC game from 07-11. Even despite those impressive runs, I don't think anyone in '11 was thinking "this is among the most prestigious programs in the nation". It was more likely "Hayward hard carried them" in '10 and "Brad Steven is a mastermind and the team is just well rounded" in '11. If they had won one or both, I still don't know if we'd be talking "top tier prestige".
For UTSA, a more appropriate comparison may be Gonzaga. Gonzaga has S16, NC game, S16, E8 the past 4 seasons compared to your PI 3rd, PI 2nd, NC game, E8 (you'll be removing that PI 3rd for at least an E8 this season, congrats on that by the way!). I don't think people consider Gonzaga amongst the few most prestige programs, NOT because they aren't consistently impressive, but rather people don't watch them barring a good OOC game and then the NT.
That was a long rant to say. I kinda agree, but I kinda disagree.