Off for me. I'm interested in total elapsed time, so average speed including stops is meaningful.
It's informative to see, on long rides where food stops are necessary, how slow people can end up ahead of fast people. It takes a lot of work to get a minute ahead of someone on the road, but it's super easy to blow a minute at a stop. In Randonneuring, clock time is all that matters.
"Randonneuring, the only sport where lack of athletic ability can be made up for with lack of sleep" - Ron Selby