This is somewhat similar to -JENKINS-33151-, but all I'm looking for is to have the option to not push any metadata back to github (such as pr/branch/commit status updating), or, if that isn't possible, to hide the Jenkins URL.

Rationale: we are using a private Jenkins to build our open-source Github repositories (many of them per org).  Currently, all built commits and PRs get marked with our internal Jenkins URL.  This is bad.  

Of course we could use a public Cloudbees-hosted Jenkins, and in fact we do, but for a variety of reasons we need both (e.g.: to populate our internal artifact repos).  

I'd be very happy to submit a PR that adds a checkbox or some other means of controlling this behavior (any pointers would be appreciated).  Thoughts?