Then on top of the above, when a Doc is set to Private, there’s no way to add a section (it disappears from the Doc Parent list for Admins and Editors as well). ? This is kind of a deal-breaker I have to say, too bad for such an amazing tool otherwise.
Long story short: Private posts are important (they provide editorial management flexibility) and Admins and Editors should have access to and see all Private posts, across the board.