`mv` works in two ways. `mc` moves behave the same way.
* If the files are on the same logical device (partition or disk), only the directory entries are moved. This can be extremely fast.
* If the files are on different logical devices, the files are copied and the old file deleted after the copy is done. This is relatively slow as the file must be read, and then written.
If your NAS has multiple disks, then moves may result in data moving between devices. You can check which directories are mounted (and their space utilization) with the `df` command.