To add, the
furnace also requires
battery power for the blower motor.
Important point though, is they are not all fully interchangeable on power/fuel source.
Fridge is the only one that might be, and it’s limited on performance and
battery life on 12V.
You can generally run everything but A/C when not connected to 120V shore power by using a combination of propane and 12V
battery power. Fridge and furnace will deplete the battery quickly.