Wonderful Port! One minor Gripe though, is that it seems to mess up the vanilla SMW Death Jingle, so only the drums play when you die. Not that bad, but that should probably be mentioned somewhere. Otherwise, Fantastic Stuff.
I haven't played or listened to A Hat in Time's OST (mainly because I'm interested in playing it at some point), so this took me completely by surprise; it's giving me a lot of Super Mario Galaxy vibes too, especially the drumless(?) version, which is honestly amazing haha, nice job!!!