dw, the fridge you have runs on propane and is an 'absorption' fridge, (or RV fridge, 2 way fridge, 3 way fridge) and it will use a very small amount of battery energy for the temperature control circuits. If DC fails, then it will fail also...but can run for a LONG time on propane and 100 watts of functional solar/battery system power.
bardo was referring to 'compressor' fridges which use a lot more energy from the battery but no propane is involved. They often require 200-400 watts of solar panels to sustain operation thru cloudy weather and shaded areas.
Very easy to get confused so you have watch the context of the conversation.