Only the Dual Shock version. The original Director's cut has the same soundtrack as the original game.I've only ever played the Director's Cut (not counting the remake). I heard the soundtrack is actually different from the original game but I don't know if that's true because I never played the original.
Also I know from reading sources online that the Director's Cut was supposed to contain uncensored cutscenes but Capcom forgot to include those. Wh00000ps!!!