First try if the transfer from PC to console works, and then you will think about doing the reverse operation.
The trick to copy the playlists and history created on the remote drive from the Prime 4 (USB stick, etc) to the collection in the PC is as explained in this post: link
Here he explains how to import the history, but you can also do it with the content of the playlists created on the Prime 4: I have tried and it works fine.