Official comment
Yes and no... you can import them, but it's not a backup so it's not a perfect restore as it was before.
Insert the drive into the new computer, go to the device, create a new playlist on the device, add all of the songs from the device collection to that playlist, then right-click and import the playlist (easiest way to get ALL the music). You can also import folders of playlists or individual playlists directly to rebuild those.
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