For those keeping track: it seems that the Fred Falke Radio Edit (found on the Danish 7-track promo CD) and the Fred Falke Radio Mix (part of the Masterbeat.com download single) are the same. While the Edit is 4:04 and the Mix is 3:59, after comparing them in Adobe Audition it is clear to me that they are identical, minus the Edit having an additional 1 second of lead-in time and 4 seconds more muted lead-out time. For me, it's always nice to know that the best available version of a track is CD-quality.
Unrelated, but of great historical significance, is my first forum post just three posts above, exactly 100 posts ago.