Running the A/C won't hurt the thing or affect winterizing since winterizing an AC amounts to cleaning the filters.
HOWEVER DO NOT RUN A/C IF BELOW FREEZING OUT.
Space heaters. on low.. up to 4 (depending on generator) each on a seperate breaker.. That works
Space heaters (2) on high may work however they may also damage the outlets. Have seen 3 so far (one in my own rv) damaged by a space heater load
Now have special outlets in my RV for those (15/20 amp, 12 ga wire bent around a screw, not punch down and one outlet to a breaker)
