Hi Abasler,
This may be a thermostat setting. I've attached a file that shows operation of one of the possible thermostats. If set to HEAT PUMP mode, the A/C will run in reverse to generate heat as long as outside temp is not below 40 F. If set to FURNACE, the propane/12V furnace will run.
When not plugged into shore power, the A/C / Heat Pump unit doesn't have the 110V power needed for it to run. When the generator starts, it does. I'm not sure how smart the thermostat is, but it may sense the loss of 110V and temporarily shift to furnace mode automatically.
Another control option is to turn off the circuit breaker for the air conditioner.