@kblack , Just wanted to say I found my answer. A user in a course (I'll call it first course) with a role based on the teacher role, including designers and TAs, will be able to export that course's content. There is no permission to change this fact, it's built in to the Teacher and its derivative roles.
In another Canvas shell, if these same users have any role that permits editing content and files, then they can import or copy the content from the first course. It will appear in their list of available courses if they choose Copy a Canvas Course with the import tool. Or they can import from the export file.
Mystery solved, not that I like the answer! I don't believe TAs should be allowed to export course content.
This discussion post is outdated and has been archived. Please use the Community question forums and official documentation for the most current and accurate information.