Of course the prefered choice of a residential fridge is a electric compressor fridge...they are 4 or 5 times more efficient than a absorption fridge.
Propane is at least 30 times more efficient energy storage than a AGM battery.
1 gallon of propane weighs about 4 pounds and has 90 Megajoules of energy.
A 100 amp hour AGM has 12x100x3600 = 4.32 Megajoules of energy storage at the very most
So even being 5 times less efficient, the propane fridge beats the snot out of a AGM battery powered fridge if you have no method of recharging the bettery, pound for pound.