Don't know how Syncthing works, of it it would even work, but what if Syncthing would detect that it recurses into a .git folder, and then use git push to push

Don't know how Syncthing works, of it it would even work, but what if Syncthing would detect that it recurses into a .git folder, and then use git push to push all refs to the remote .git repo? That should give a transparent "sync" of the entire git repo and workdir for the user, but via the safety of git's own sync mechanism.