Hi Swakshar,
try this:
a) assign Manage models (templates?) at Collection and Analysis
b) clear Edit content in public folder at Access Folder
PS: At my test, the user is team admin.
I have the same issue and it is working now. In my case, the user could open and save file at group folder and this user couldn't save at public folder.
Maybe the task names are quite different, because I am using another language at web...
Best regards,
Ana Teresa