I don't know, but I think my Cateye strada cadence does moving average. To me total average is the more relevant number because I tend to ride without any sort of planned distance but rather a time I need to be somewhere (work or a time I tell my wife I'll be back so we can do whatever we have planned). I tend to try to push those times as far as I can to get as much riding as I can in, so knowing how far I can get in the total amount time I have left is what I find most important. That includes time spent stopped at lights. I have a general feel for that by now, so really the only things I look at on my computer most of the time are distance traveled and current speed because sometimes I know I need to push it above my normal average cruising speed to make my time constraint so I need to check back to see if I haven't dropped down to my old groove.
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Bikes: 1996 Eddy Merckx Titanium EX, 1989/90 Colnago Super(issimo?) Piu(?), 1990 Concorde Aquila(hit by car while riding), others in build queue "when I get the time"