We do a lot of dry camping and have not had an issue with our residential refrigerator. Last summer we camped for 5 days in the Apgar campground in Glacier National Park - no hook-ups, generator restriction to a couple of hours in the morning and couple in the evening. They do allow 2 hours in the mid-day, but we were never there. And we weren't always there in the evening. Anyway, we had no trouble with the batteries being low.
We have 6 12-volt group 31 AGM house batteries and a 2800 watt inverter.
Tom
2015 Meridian 36M
2006 CR-V toad
3 golden retrievers (Breeze, Jinks, Razz)
1 border collie (Boogie)