Fun fact: I did my parks and recreation internship with the City he is talking about.
http://www.jeffcitymo.org/parks/parksandrecreation.html
My internship covered a lot of stuff; I managed the day camp at Binder Park, supervised T-ball in Riverside Park, worked on ball field maintenance in Washington Park, ran a cycling event on the Katy Trail, ran a 5/10K run out of McClung Park...you never focused on one thing, which was how it was when I was working in the field.
Even when I was running the disc golf course/leagues/tournaments/concessions at White Birch, disc golf was maybe 10% of my job. I ran aerobics classes, karate classes, volleyball leagues, kids basketball, ran the concerts in the park series, ran the annual Easter egg hunt, coordinated two huge craft shows...at any given time I had about 20 programs that were running with a couple of special events every month on top of running disc golf events. In parks and recreation, you generally don't get to specialize in one thing unless it some big dollar investment like a ball golf course or the aquatics manager in a place that has an indoor year-round swimming program. I don't think any municipal parks and recreation department would hire a "disc golf manager," at least no department I'm aware of.
But hey, if you look into Jeff City tell J.J. I said howdy. He and I were pretty good friends at Mizzou back when he had hair.
There actually are five or six people at Jeff City that either were there when I did my internship or I went to Mizzou with. It doesn't surprise me that they are willing to work with the disc golf club there; there are some good people at that department. With the benefit of hindsight, it was one of the better places I had the pleasure of working.