Well, not too surprisingly, it turns out that I know even less about basketball than I thought I did. Also not surprisingly, Grandma has Provided Information.
There is such a thing as donkey basketball. It is generally played as a halftime entertainment-slash-fundraiser at a school game. Participants (sometimes students, sometimes teachers, sometimes firefighters, etc.) ride (or attempt to ride) the donkeys and play basketball. Our district (being as how we are in the greater Cincinnati area and Way Behind the Times) has not (to the best of my knowledge) partaken in this particular event.
Of course, donkey basketball has been around since the 1930s and Cincinnati isn’t really an entire century behind.
“When the end of the world comes, I want to be in Cincinnati because it’s always twenty years behind the times.” Mark Twain
I’m guessing that our athletic director never heard that donkey hooves are great basketball court floor conditioners.