Isn't the music the same in both versions? Capcom is well know from using the least effort when porting.
Also, Rockman 8 uses the RockmanX4 engine (engine reusal, another of Capcom's favourite policies), and in X4 all music is PCM (pre-recorded music, like wav or mp3 files). So I assume Rockman 8 music to be PCM too, and it should sound the same in both games (with really unotiecable differences due to file format differences across the systems).
The only ways it could sound slightly different are if Capcom either did different tracks for each version (hard to believe) or if the games uses synth music (like MOD or MIDI: a set of samples has their pitch changed in real time to build the music). If it *is* synth, then there are 80% odds the Saturn version sounds better, due to the better synth hardware.