I find it a little confusing, especially when trying to do something a little unusual.

For example, I had a git repo on a web host and wanted it moved to another host (they cloned it easily enough), but then I wanted to make the cloned repository "authoritative", but I after several hours of looking for an answer I finally gave up. I was able to clone the new repo to my local machine, but I couldn't push changes to the new repo, and had to log into the new host using the console and commit changes there, which was still looking at the original repository.