Say the transient startup is 12-15A. Any battery that can't handle that without a lot of sag has no business running a fridge.
Personally even if it's "only" a 4A load normally, adding a fridge to the usual lights + fan + screen gadget charging load, would lead me to upgrade from 100A @12V to 200+A
And I still would ensure a decent daily input of energy. If I know I'm not going to get any for two days in a row, then the bank needs to be sized to carry the average loads for 4-5 days without going below X% SoC.
Otherwise you're just playing chicken, like "let's see how far we can drive with only 10psi in the tires" or how far you get after the low petrol light goes on.
These expensive powerpacks are toys compared to what actual boondocking House banks need.