We have been RVing for 25 years now and use the propane when on the road. Think about it...there are trucks that operate on propane of CNG and some motorhomes have generators that run on propane. Be kind of hard to keep them running with the tank shut off.
From a safety aspect when fueling, it is not much of a problem, but you still need to shut all sparking devices like the ignitors on the water heater, frig and furnace. Actually gasoline fumes are heavier than air and hug the ground. All of the propane users are at least 2 feet or more off of the ground. Somethings that people have absolutely no concern about are even closer to the ground and the fumes. The starter on an engine is a really great sparking device as are the door light switches. The starter is in an enclosed housing, but it is not vapor proof or explosion proof, so the gasoline fumes can easily permeate the housing and get to the windings and armature.
I have heard lots of urban myths of RVs blowing up a station, but never had anyone substantiate the story. The 20 plus gallon sheet metal gasoline tank of gasoline is more of a potential for an explosion than a UL listed or ASME approved tank.
If a line from a propane tank ruptures, the tanks ALL have a legally required excess flow valve which detects the sudden flow increase and shuts down the flow.
To get an explosion from a tank, it will have to have a catastrophic failure which releases all of the propane into a ignition source. The tanks are protected with a pressure relief device, so that if the tank is over-pressured such as near a flame or fire, the relief will blow and a stream of propane will escape. This stream can be ignited if there is an ignition source, but the flame will not travel back into the tank and make it explode. In order to get propane to burn, you have to have the fuel (propane), oxygen (it is in the air we breath) and an ignition source with a high enough temperature to ignite the mixture. If the mixture is too rich or too lean, it will not burn.
It is strictly up to you, but we have never had a refrigerator that would keep the food cold for a day on the road. I like my ice cream frozen and my wobbly pop cold, so I run it. Some things are worth worrying about, some things are not.
See you are a fairly new member, welcome to the forum and hope you enjoy it.
Amateur Radio Operator (KE5DFR)|Full-Time! - 2012 6.7L Ford Crew Cab Dually -2013 HitchHiker Champagne 38RLRSB - Travel with one Standard Schnauzer and one small Timneh African Gray Parrot