Type of Thermostat?
We have one of those Dometic Single Zone LCD Thermostats. If the thermostat is in the furnace mode, and the fan is set to LO or HI, the AC's fan will come on for additional air circulation, only if connected to shore power. The fan mode has to be set to Auto, in order for it stay off and only the furnace blower operate. Confusing, but some people forget when they last used the thermostat for AC and had it on Low or Hi for continuous air circulation. Again-only when hooked to shore power.
2012 FunFinder X 210UDS
4-68 watt flexible panels; 1-215 glass panel/4 Battle Born LiFePO4 Deep Cycle Batteries
2014 Ford F350 6.7 Liter PowerStroke V-8 Diesel longbed, SRW