Using a residential fridge correctly when not connected to shore power

[TigeDuner]

We recently purchased a 2017 Winnebago SunStar LX 35F with a new residential fridge installed just before our purchase. After some help from this website, I was able to connect the fridge to our 1K inverter, which can provide 110 volt power from our two size 24 coach batteries (wet) when needed while driving or when parked and not connected to shore power. We have no solar power and the fridge draws 1.2 amps AC when running. I have read that since these residential units are insulated so well that you can "leave them off" or turn the temp up during the night and the fridge will maintain it's temp until we begin driving in the morning or start the generator to bring the fridge back to the preferred operating temp. Is this the proper way to use a residential fridge while 110 power is off? I am not sure our two deep cycle batteries will be able to handle too many fridge cycles over the night.

Any thoughts on this issue or personal experiences would be helpful.
TD