Have had a compressor fridge in a previous van, but not set up for free camping. Operated from 12V car or 240V connection with auto switchover.
Reason for change was consistent operation, could not get fridge temp right and would loose a lot of food. I think we have this right in the expanda and also use a temperature monitor.
I found a comparison chart here
https://www.caravanrvcamping.com.au/caravan-fridge-comparison-chart and I assume that there is a lot of them about.
Taking one as an example Vitrifrigo DP150i Compressor Fridge the figures are:
Max current draw (12V): 3.3 Amps from
https://www.vitrifrigofridges.co.uk/dp150ifridge.htm but comparison chart indicates 54W (4.5 Amps) with an average of 28W (2.3 Amps).
So at the max end you have 100aH battery and want to only discharge 50% it would last 11 hours (100 / 4.5 * 50%)
For average this is 21 hours (100 / 2.3 * 50%)
For the 3.3 Amp it is 15 hours.
Doing the reverse and using 12 hour night the drain on the battery as a percentage would be:
Max: 54% drain leaving battery at 46% (4.5 * 12) / 100 as a percentage)
Average: 28% drain battery at 72 %
Spec: 40% drain battery at 60%
Adding all of the other 12V power used at night, you can determine the overall drain and also determine the safety margin you want to have (ie only want to use 30% of battery reserve on average).
Then the day time scenario is that you have to supply the fridge (and other appliances / lights) from the solar and then any current left over is used to charge the batteries. So the solar would need to supply minimum of 2.3 amps (average) up to 4.5 amps (max) at the battery before you would start to charge the batteries.
I am not up to date with solar efficiency but if we use 20% to cover electrical, pointing and weather efficiency plus 12 hours of charging then:
400W of solar would give 400 * 50% / 12V * 12 Hours gives 200 aH, but using average fridge load you are looking at the fridge using 28 aH of that plus any other items running.
Apologies for the long winded response, but hopefully this gives some details if you want to do some calculations. Noting that efficiency factors are generally WAGs (Wild A... Guess) and very dependent on where you are.
Final comment is that as the batteries are then a significant item in make sure the beer is cold, you need to have battery / electrical monitoring that gives you adequate warning that batteries are being depleted. You do not want to get to 9:00 pm and find you need to start the generator.