My DD is a WDW CM--and a character in the parade. The 'parade stops' have been eliminated for the time being. They will probably be back again but there's no specific time frame for that right now. They are working on some adjustments since the horrible accident in February.
When they were doing the 'stops', there were five of them along the route--but not all five were done every day. Some days the stops were completely eliminated. A lot depended on weather and other factors which we guests aren't aware of--for example a mechanical problem or a CM becoming ill--something which occurred after the parade has started . If you notice the parade moving at a fast rate, then you can be sure there is some type of problem and they're trying to get the CM's off-stage quickly.