If your residential refrigerator is a factory install, then it should be equipped with a dedicated inverter connected to 2 coach batteries. So long as your trucks charge line is passing current to the RV via the 7-wire cord, you should be able to run the refrigerator all day long, so long as the inverter is on and power the refer.
Rereading your post - I may have misunderstood. If your question is, can I leave the refrigerator powered on and running for weeks or months at a time while stored, the answer is, yes you can. We park our RV next to the house and plug it into a 50 amp circuit. We leave drinks and condiments in the refer and food in the freezer for weeks at a time in between trips. So it's up to you
I was reading the owners manual last night and there isn’t any off switch so I would have to unplug it to turn it off. On our old unit it had the shoreline power or propane option and an off switch available so we would open the doors after we got back from a trip and just turn it off. I guess it’s designed to just stay running so we might as well load it up with at least some drinks to take advantage of it running ..?
You could use the circuit breaker to turn the power off to the refrigerator.
Where I live, our season is 12 months a year, and neither the one in my house or the one in the trailer is ever cut off. Because they are designed and built to run 24/7, my theory is that it might not be good for them to be turned on and off and have to cool down every time you want to use it. They weren't designed for that type of use.
We do the same as George, especially since it is a residential appliance meant to be turned on and stay on. We also switch it to the inverter when on towing.