Does the new Garmin Connect show both total time and moving time? This was shown in the summary data in the Activity Dashboard. It was a really great feature.
I'm not sure if this is being planned or even considered for a future update. Perhaps someone else can enlighten us. Personally, I'd like to see it. However, I can tell you that on the MB forum there was a continuous stream of questions about why activities were not matching Training Center or the device.