Both in a professional context.
For skating shows aimed at mainstream or sports-oriented audiences where musically knowledgeable spectators are in a minority, safer choices are music that's easy to appreciate at first hearing (perhaps because its already familiar from other contexts). OR gimmicks can be fun, and skating to just the sound of the blades can be an effective gimmick for mass audiences if executed well in an accessible way.
In a competition context, there are too many times when the sound system fails and the program has to stop and restart because of technical problems for it ever to be a safe choice deliberately not to use music. Sometimes skaters just have to continue without their music if stopping and fixing the problem is not an option for some reason, and there are very few who convey the style and rhythm of the music through movement alone. That's not what freestylers train for. Ice dancers would be more able to succeed. But because skating in time with the music is more explicitly judged in ice dance, I can't imagine a dance referee who would allow a dance team to compete if they had a music problem couldn't be solved. I think they'd be disqualified, but I haven't checked the rules, which may have changed over the years anyway.
For freestyle, if all else fails, getting marks for the elements and whatever aspects of the PCS/second mark are still there to mark is more of an option.
But for recorded sound that fits the rules but doesn't fit the norms, can we find examples from competition from skaters who were able to make it work?
Should we start a thread about musically challenging pieces that some skaters have been successful with? No Carmen or Rach II, no matter how well interpreted -- pieces that take real thought and understanding to do anything with. The exceptions.