MTP oddities on Windows 10
MTP does not support simultaneous read/write, nor edit.  This has nothing to do with Windows 10.  (See: https://en.wikipedia.org/wiki/Media_Transfer_Protocol#History)

If you want to move files within the device, you will need to either (1) do so from within the device or (b) first copy the files to your PC, then copy them back to the new location on the phone.

The goal of MTP is to prevent data integrity issues by abstracting away the underlying filesystem and preventing simultaneous access; for this reason, it is strictly less powerful than USB Mass Storage.