I can't even remember if the PE course I took was required or not, it was weight training BTW. I also took gospel choir but that wasn't a requirement, that was just to meet girls... plus it was a fun class.
I attended the girls' gymnastic club one evening looking to work out in gymnastics. I had competed in gymnastics in HS. Our state university did not have a gymnastic team (either male or female), but did have a club. The instructor(s)meant well, but really didn't know what they were doing. I don't believe that you necessarily have to be able to do something to teach it, but it doesn't hurt, either. The instructor had been unsuccessfully trying to teach the students how to do a glide-kip (basic uneven parallel bars move)for about 3 weeks. I helped some of the young ladies through the move and, by the end of the evening,all those who ever would do a glide-kip were doing them. I was allowed to stay and even got a date or two. Later I learned that some upper class men were working out informally at the field house and I continued my work-outs there. There were a set of rings and parallel bars behind the bleachers that we were permitted to use. This wasn't required. I had an interest. Some students don't. It's probably a good idea exposing them to a variety of sports, one of which may remain with them.
Later at another university (sans gymnastics team), I declined the gymnastic club instructor's offer to put me on the payroll as an instructor, because I had other jobs and commitments. I did teach some young ladies some moves, and got some dates. There were also some males at this club, and I taught them some basic moves, such as giant swings on the high bar, dislocates on the rings, and a simple technique to hold a hand stand. None of those students were required to attend that club, but they had an interest and talent.