My take, Fred, is that most coaches do cycle engine coolant forward through the hydronics unit and back, at least with AquaHot/HydroHot units.
But that heat will do you no good if you don't turn the thermostat and HydroHot diesel switch on while on the road so the heat exchanger fans on the floor can run. The engine doesn't cycle directly to the exchangers, but rather through a loop in your HydroHot. The coolant heat transfers there to special hydronic fluid, and then your HydroHot uses its own pumps to move that fluid, not engine coolant, to your floor exchangers.
You will have to burn a little extra diesel to run the HydroHot while on the road, but the engine coolant is supplying a good deal of the heat, so the burner doesn't have to run as much as it would if you were just parked. For most of us experience has taught that the house heat provides more actual comfort while on the road than the dash heat, which like a car is provided via engine coolant directly, but unlike a car is sourced 30+ feet away. That's a lot of distance over which heat can be lost, and the dash fan can't push as much warm air as several floor exchangers.
On rare occasions in milder weather, we've found the dash heat (or AC) to be adequate, and got by without burning HydroHot diesel on the road. But if the wife complains about "freezing to death" over there by the drafty entry door, I pull over and turn on the house heat, but keep the dash heat on, making sure her dash outlets are directed properly.
Joel