Modern RV appliances and appliances optimized for solar battery banks have a “soft start” in order to minimize the startup draw, so your numbers are off in that regard.
Go to the link to Precision RV that I provided and look at the several large installations shown that power the entire house functions of the RV. These retrofits are not cheap and they would not be selling if they do not function as advertised, RV’ers are not generally pie-in-the-sky leftie dreamers, they’re a practical lot.
I’ve been following this as it’s been developing for over two years now. Two years ago, yes, you’d have been correct. Running the A/C on solar-powered battery bank would have worked for at best a few hours, not overnight. Not so now.
I took the numbers off the Ramsond RV air conditioner website, which I linked. So what's wrong about them? Only thing I guessed about was the length of time for startup. I'll even stipulate NO startup time. You still only get a little more than 16 hours.
Again, I used THEIR numbers. My only "SWAG" was the battery conversion efficiency of 80%, which I supplied from my expertise of 30 years as an electrical engineer designing switching power supplies, big and small.
Please tell me what's wrong with this analysis. I want a PV backup at my country home (not for A/C though), so I need to do this right.