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If I understand you correctly it sounds like you want to allow certain users to be able to move and organize specific forms and folders if needed, correct?
To my currently knowledge it is only possible to subuser accounts to be able to view and edit submissions as shown when ticking the boxes to give them viewing and editing permissions. Also, it is possible for them to transfer a form and vice versa.
I don't think this is something we really thought about before but is a pretty good idea so I would be more than happy to send it as a feature improvement request on your behalf if you wish.