A very interesting point indeed. We are used to debating whether the mood of the music suits a skater's persona, whether a skater can get into the character, etc.
A more important factor might be just elementary things like whether the tempo fits the timing of the jump entries.
I notice, for instance, in professional shows that feature a live band or singer, that the skaters are often struggling with timing and tempo -- and these are experienced performers who can skate to anything.