Well, it's been a fun thread. The answer is, of course, that both kinds of average are useful in different ways for different purposes. This just highlights the evilness of the conspiracy that sees real average not represented on RWGPS and Strava.
I'll finish with a story. I've just got back from an pretty bad (if picturesque) ride. It was meant to be a hilly 100k, but my legs just wouldn't work and I found myself grinding in bottom gear up the smallest of hills, pulling Tommy Voeckler faces. So half way, with the worst hills yet to come, I cut my losses and re-routed to a station (which was the other side of an effing big hill). I made numerous stops: to eat, to have a rest, to navigate, to have another rest, to seek inspiration, pray for teleportation and so on. I ended up with 73k, 1,000m climbed, and two average speeds:
Moving: 18.9km/h (Not quick but hey, it was hilly)
Real: 15.4 (Aaargh! Crash and burn!)
Which do you think gives an accurate picture of the ride? (hint, it's not the first one).