IF (may be a big IF) everything is working as designed/built, no problem.
The alternator will charge both battery banks.
The charged house battery bank will power the inverter to keep the refrigerator running.
But, unless it is really hot out, 3-4 hours should be fine with refrigerator off if you don't open the doors.
If time, freeze a couple of plastic bottles and place in the refrigerator.
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Brett Wolfe
Ex: 2003 Alpine 38FDDS. Ex: 1997 Safari Sahara. Ex: 1993 Foretravel U240
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