I haven't listened to the original in years, so don't know what to compare. Too lazy to Google it. But I gotta say this sounds nice on its own even without familiarity of the source material. Some chords seem a little harsh, like they might be minor sevenths, but that was probably in the original as well. Anyway, very nice.
Oh, I was just thinking now, change the piano to a clavier or harpsichord and you'll be spot on, I think.