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For my reported screen shot the moves were within same file system. The Windows move correctly processed the inheritance from the destination folder, but Linux move did not.
Neither Windows nor Linux change the permissions when moving a file or directory within a file system. You probably made your tries with Windows Explorer which messes with the permissions. See for instance the Remarks section on msdn.microsoft.com/en-us/library/ms128008%28v=vs.110%29.aspx I have attached a basic program (source and 32-bit and 64-bit executables) which acts directly on the Windows file system without messing with permissions, so that you can check what happens.