Preventing Battery Drain

The worst part is having to wade through all the insurance adjusters in their khaki pants and blue nylon jackets.

Uhmmm, the hose on the tank could spring a leak in the tunnel and blow the whole thing up .  I'll bet they make you turn off the LP gas valve when you're on a ferry boat.  And the flame on the fridge is also, as another poster pointed out, not exactly open, like a candle or a blow torch, in addition to not having a pilot light.  I say NO FLAMING TORCHES IN TUNNELS, unless you're welding on the boring machine.  

Besides that, most of the time you're going to spend not more than about 10 minutes refueling, max.  You could turn the valve off for the time you're at the pump, then turn it back on as you leave.  If you have a long ferry ride or something the issue could be a problem, but there unless you're going to be in transit on the boat more than an hour, there  is enough insulation and carry over cold that it probably wouldn't make much difference anyway; unless, of course you're going from Rihad to the port of Dubai.

Are the propane refrigerator police really going to go into your Pod to check to see if the fridge is turned on with propane while you're filling up at your local Pilot or Flying J?  

Completely agree with GlueGuy. Running the frig on battery does not keep it as cold as the propane option or 110-120VAC. I ran the frig on battery when traveling for almost a year and could not ever get the temp below 42-43 even on mild days before I got smarter through reading many of these messages. I even went to the trouble of putting two pancake fans in the mechanical section to increase the air flow over the heat exchanger. Once ran the battery on the TV down to the point I needed a jump start. I was not a happy camper that morning.