ARB_USA
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i have been using my ARB 50qt fridge for a year now with the OEM rear socket without issue. It does power off after 2hrs of engine off, but no problems when engine is running or a short stopover.
That is not good. More than likely the fridge is shutting down because you have too much resistance in your factory accessory circuit. This is a prime example of why we offer the aftermarket outlet and harness.
Depending on the fridge setting and ambient temp, your fridge should be able to run for several hours with the engine off.
With this 4Runner (factory battery) we ran the fridge for over 24 hours with a 85-90 degree ambient temp outside.