Like just about everything else, the Reichwing is trying to weaponize and demonize certain segments of higher education. You're right about the vagaries of degree classification. Graduates of two-year nursing programs receive either an AA or an AS degree, depending on the school. I've seen four-year teaching degrees similarly classified.
Then there are the cases where a student is not just getting an art history degree. There are a lot of people getting double majors, or getting minors in a different field. I know people who did double majors in physics/philosophy, business/art history, and geology/Russian studies.