I think it's an interesting point... but artistic gymnastics is more commonly called ballet. Watch this for a case in point.
I actually had a vocal coach recently compare one of my arias to figure skating.
My jazz improv professor used to relate the grading our improvisations to figure skating judging. He said that there were certain 'tricks' that we were expected to demonstrate, at certain points in our improvisations--the same way that figure skaters are supposed to perform certain spins and jumps in their routines.