I am currently having issues with moving Stories from a Team Managed Project to a Company Managed Project - I found an article that stated it can be done as long as the site administrator creates similar fields in the company managed project that are in the team managed project.
I am currently the site administrator and not only did I setup the custom fields in the company managed project but also replicated the workflow. The problem is when I go to move the issues from the team managed project to the company managed project it is removing all of the custom fields. Most of these fields are simple text boxes nothing crazy, I have tried using Deep Clone but have had the same issue occur but was curious to see if anyone had a similar issues. I have also opened a support case as this is getting frustrating.