Sorry, the manual didn't say which battery it actually is wired to, but I'd say it's the house/coach
battery, so if it's weak, you might want to get it checked. Here's some rough figures for DIYers.
" On sealed-top batteries that do not have a built-in charge indicator, the state of charge can
be determined by checking the battery's base or open circuit voltage with a digital voltmeter or
multimeter. This is done by touching the meter leads to the positive and negative battery
terminals while the ignition key is off.
A reading of 12.66 volts indicates a fully charged battery;
12.45 volts is 75% charged,
12.24 volts is 50% charged,
and 12.06 volts is 25% charged. "
While driving the vehicle, and with the 12V DC power enabled (via the Battery Disconnect
Switch on the Monitor Panel being "on"), all batteries should be charging off the alternator,
so if the battery isn't being charged due to a physical problem (low electrolyte?), or just old age,
it could affect how much 12V power the fridge is getting. The manual says the fridge will
drain whichever battery is being used pretty quickly. If you stop the engine/alternator, you
temporarily lower the quality/quantity of the power to the fridge, so that may be a factor, too.