I've used the following to create an orphan branch on a local repo, then pushed it to a remote on Github:
git checkout --orphan worker
git rm -rf .
git commit --allow-empty -m "Initial orphan commit"
git push origin worker
I get the "This branch is 1 commit ahead, n commits behind master" message while on the worker branch on GitHub.
The idea here is to create an empty, unrelated branch with no history, totally disconnected from all the other branches and commits and, that isn't tracked in relation to the master branch.