I spoke with Paul Unmack (the ARP guy) and he said his unit would not be affected until the voltage got very low, I think probably in the 9 volt range. He did point out (as some of you have) that the frig itself will go offline if the voltage drops too much which is what I likely experienced yesterday and last night.
I am running the generator to bring the battery voltage up and am running the frig on gas for at least 4 hours before I check to see if the freezer side is showing any signs of life.
Hank
2005 Mandalay DP
2012 Honda CRV