I'm not really a student of music, so I can't comment on what composers this remix reminds me of. But I am a brass player, and I can say that I will never complain about a remix using so many horns! (Seriously, can we get some more of those, anybody? I would love that, if anybody is looking to try it out.)
This is radically different from any other remix of this song that I've heard, and I love that. If someone were to have said to me, "OK, picture a song from Chrono Trigger, but in an old-time cinematic style that borders between symphonic and jazz," I would have never assumed I'd find that appealing. But, now that I hear it, I enjoy it! So thanks for making and sharing this, JohnStacy.