Correct on all points, that's the idea with this new Jemplode. Although I have not tried this with the v3 Alpha software, so I don't know if that's a factor.

Note that in order for it to count the songs as the same, the song files themselves have to be identical on both players. You can't have two different rips of the same song and expect them to be counted as identical. Also, I have only tried it with MP3s, so I don't know whether this extends properly to all song file formats.