Does Unpublishing a Course via Learning Object Manager Prevent Users from Viewing the Course Content

Summary

After unpublishing a course via Learning Object Manager, it appears that users can still run the course.

Content

We are working to replace a course in one of our learning plans, so we created a training offering with the old and new course and then unpublished the old course. In testing we were still able to run the unpublished course... is this correct? I know I can change the name on the sftp site, but I thought unpublishing would do the same thing. 

Any ideas? 

Thanks,
David