i personally like github. and nothing is stopping you from having a mirror.

github as a "social network for programmers" is a cool idea in my opinion. having your public commits be published can give your small project a higher visibility. like, just searching new commits for a given language will show you all kinds of projects you may or may not have an interest in that you might have never seen. github has a team of people who keep the server running (they have a pretty decent uptime) and a whole team of security people working to try and keep your stuff secure, which you'd have to do on your own with self hosting.

i completely agree about have your code hosted by a company, but i dont see sites like savannah.gnu.org and repo.or.cz being much better. and github has a much better reputation for quality than sourceforge or bitbucket. gitlab being an open-source project that is self hosted, is the one i think might be the best alternative, but guess what? it's also run by a company gitlab LLC.