200 watts of solar and 2 GC batts will run indefinitely on a DC Danfoss style compressor fridge.
Gdetrailer, yes, your setup works, but the reason it is not favored by many is the residential just pulls a lot of amps, will shorten the battery life as a result, and as you say, 2 days is it, 4 with your 300watts.
Your setup is great for weekend warriors, but the power usage is so much higher that I dont recommend it myself. Everyone wants to trump their own horn I guess.
My first camper I tried a small residential fridge and inverter. I had 3 batts. It worked great when new, but over time the batts lost life and the fridge would run them down quicker and quicker. The inverter, which uses power just being on, had to be on all the time and loses efficiency through its loses, and eventually when the batts did lose SoC thee was not enough to start the little compressor, and the fridge was of no use until I charged batts back.Not a big deal, but those batts did not last as long as I would have hoped; back then they were cheap is the good part.
Now I prefer the Danfoss compressor fridges. Expensive, yes, but a lot more ideal for those not willing to compromise function over dollars. Im cheap but a few things I will not compromise on. The fridge is one of the cherished items in my camper.