Doubtful you have a DC refrigerator. No AC is just that, no AC (110) power, no FL is no flame. Most DC refrigerators are pretty small, as cooling on DC takes lots of DC power and would kill your house batteries pretty quickly even while connected to your tow vehicle. Nothing wrong with going down the road on propane.
2018 Durango 318RLT Ford Lariat F250 Former RVIA master tech.