I think the music of SOR3 was to the series what the music of Jet Set Radio Future was to the first game. Less melodic, with harder and faster beats. It created more ambience, despite being less dreamy, in both soundtracks´ case. Very experimental too, it proved the Genesis´ sound ship versatility.
I wish somebody remixed Dub Slash again. I know the SoRRemake had one, but in my opinion it absolutely disgraces the music. You go from this huge, adrenaline surging rush of a track to this slowed down more methodical version. One of the few remakes that loses the "soul" of the original.