When we start a trip we plug the trailer in the day before and run the fridge on electric.
I turn the fridge on LP as were leaving and never turn off the LP till were plugged into 110v.
Our first rv campers had the old ice boxes that required block ice to keep things "COOL".
Later the industry went to LP fridges which was a godsend. Now we could actually keep meats/other foods frozen on those long 500-600 mile a day runs in 110 degree weather at 55-60 mph.
As a victim of spoiled foods from the old ice box era my LP fridge never gets turned off. I hope no one ever gets that sick.
My large rv dealer in my area (37 years) says they have yet to see a rv fire started by the LP fridge at a gas station.
But burned rv vehicles started by the LP heaters is common.