Hi, yes. Only a SmartSync profile has a memory database that can keep track of what files was moved or renamed in order for it to attempt to replicate such changes across to the other side.
Note that the rename/move change must only be either/or. You can't have a file moved, and then renamed (or renamed then moved) prior to the next SmartSync run as it wouldn't be able to catch such multiple changes within a file.
Both mirror and backup don't have an inherent database to keep track of such changes thus it's not possible to do so.
For more information about renames/moves, please read the Help file on the section 'Smart Synchronization'.
Note that the rename/move change must only be either/or. You can't have a file moved, and then renamed (or renamed then moved) prior to the next SmartSync run as it wouldn't be able to catch such multiple changes within a file.
Both mirror and backup don't have an inherent database to keep track of such changes thus it's not possible to do so.
For more information about renames/moves, please read the Help file on the section 'Smart Synchronization'.