Acceptance test for STUD-1311.

Acceptance test for draft/publish bug.

Note that it would make sense to have the acceptance tests for drafts and publish in their own test file. However, the only other "draft"-related test is right above this in problem-editor.feature (also using a problem to test with), and since we know we will soon need to change all these tests when we change the publishing model, I figured this is an acceptable place for now.