I'm just using an Xbox Series X/S controller - I actually thought it was really weird that there would be any difference, they're such similar controllers. I don't know what the difference between an X/S and a One controller would even be :-/
Yeah, it's really weird. Maybe I have a slightly different driver installed or something? It's the first game I've encounter this issue with. I ended up using an 8bitdo controller instead and it worked fine.
Anyway, it's a very cool game! Had a lot of fun with it. I've got an article and YT video up now. :)