Were the original roof top AC's Heat Pumps? Some Oem's install a Heat Pump in front and a standard AC in the rear. You just joined. ALWAYS list
1. Year Make and Model of RV
2. Brand and model number of appliance you are asking about.
It is rare for a RVP(Coleman) top control board to fail.
It is also rare for the wall Tstat to fail.
Since the new HP does exactly as the old, it points to the control board/wall tstat/WIRING at the tstat or at the connections on the control board. Do you have 2 wall tstats or just 1 that controls both? Do BOTH tstats(if 2) have the same designations on the outer button cover?
On Coleman HP's, IF you set the HEAT to more than 5 degrees above the wall setting, the System defaults to the furnace. IF you have 2 furnaces. If just one furnace the front HP will default to furnace. The rear will do nothing except blow air. SO, try setting the rear tstat to just 3 degrees above what the tstat setting is. Doug