They have beautiful music (and architecture) in their churches; unfortunately many are almost museums instead. It is a long Christian tradition.
The author of Cantique Du Noel actually wasn’t very happy with “clericalism” and believed in the merits of a more populist practice of Christianity. But there’s nothing in the song itself that I know of that would offend Roman Catholics. Do you see it used much there? I know it is a perennial favorite in Protestant churches.