I don't think music will be an issue. Streaming lots of video (like with Jellyfin) has gotten some people blocked, you hear stories occasionally.
Most of the problems I had were trying to uploaded big videos (300MB+) to Zusam, a sort of private sharing forum. I hit both the request limit and the timeout when trying to upload via a slow connection.
If you can, set DNS entries within your network as well so things you do at home don't have to go via Cloudflare.