Some systems have an inline fuse in the high-speed condenser fan wire (black wire from circuit board to fan). If that fuse is blown, the system behaves just like you described.
When the thermostat is set at one degree below ambient, only system 1 runs. When ambient temp is two or more degrees above thermostat setting, system 1 runs briefly, then the condenser fan shuts off, and system 2 starts. However, if there is no power on the system 2 condenser fan wire (fuse blown), the condenser fan never restarts.
The only workaround I've found for this is to turn off the system 2 circuit breaker. That allows system 1 to run as needed. My experience is that system 1 will keep the temp bearable inside the MH.
I recently replaced the air conditioner circuit board, along with the compressor start and run capacitors, and of course replaced the fuse (again) for the high-speed condenser fan circuit. I also replaced both compressor relays.
I got all the parts from Makarios RV, and was very satisfied with their service. So far, so good!
gfs1943
USAF, Retired (1962 - 1983)
2006 Monaco Diplomat 40PRQ
2006 Honda CR-V