The top skaters whose routines are replayed in prime time, on major network TV, do give lots of exposure to music composers and performers, costome designers, coaches and choreographers. Not sure about the others. But I guess it would be cool to be able to say your composition made it to the Olympics.
OTOH, with a custom piece and performance, you can time the musical climaxes to the times of the most difficult moves. Also, you can get the exact tempos you want, without playing electronic games that might create bad sounding artifacts.
Music is sometimes the skater's choice. They hear music they love, and want it.
But an established piece of music likely evokes a specific style of costume - which affects judging.
I wonder whether music with religious and in this case explicit sexual references, offends some people.
The Biblical account does not read to me like a great romance novel. David spies on Bathsheba bathing; he orders her to sleep with him, adultery for both; he arranges her husband (who she will mourn) killed in battle; David makes her his seventh wife. God is displeased; David and his line is cursed (though in some respects David is considered a great King); Bathsheba successfully schemes to get an enfeebled David to designate their son Saul as the next king, a role Saul fills badly.
Given that truly awful backstory, it wouldn't be my first choice pf music. But some people love tragedies.