I doubt that there is a univ that has all classes taught by “full profs”. I think the person misspoke and meant “profs”, not TAs.
And…I DOUBT that school has profs teaching its “PE style” classes. Those are typically “taught” by grad students because you don’t need a prof for those classes.
Anyway…my kids had profs teach all classes, except their jogging class, physical conditioning class, and one of their Italian classes.
I’ve heard that sub-100 math classes aren’t taught by profs. Those are “pre-college” math classes.