Looking at the specs for my Norcold fridge:
Electric element 300W, 1024Btu
Gas mode - 1500Btu
So, inferred that gas has the edge in terms of cooling energy and hence less time. Well, wonder and guess or measure and know. I have a temperature logger thing so over a couple of evenings I ran the fridge on electric and then on gas. I chose evenings because it's a tad cooler here and there wouldn't be any influence of sun on the RV. I started it at nominally 9PM and let it go overnight. The fridge is completely empty, set to 4, with the logging recorder on the center shelf.
The top graph is electric, bottom graph gas. On electric, it took about 7 hours to reach temperature, with gas it was around 11 hours (long red lines) and I'm not sure on gas if it ever reached the cold limit. The short red lines indicate where the power or gas was shut off. Nominal overnight temperature was around 80F.
So a few observations. At least with mine, the cooling time is absolutely less on electric, and actually goes into thermostatic control. So that could imply a burner problem, but just looking it seems OK (even blue flame). It's readily apparent that once the sun hits the side of the RV the fridge can't keep up. Nominal air temp when I shut the gas off (short red line) was low 100's, inside the RV was probably 10F more than that. So definitely worst case in terms of heat load but evidence that it might need some help in terms of a burner check and active coil cooling.
Another takeaway I learned is that this thing is no Yeti in terms of cold preservation. In just a matter of a couple hours the fridge was warming up and literally hot within 12 hours. Having contents in there would slow that down a lot, but a useful data point to know that especially during the heat of the day you don't want to leave this thing unpowered for very long.
I have a couple other experiments in mind, namely seeing if electric can keep up with heat load at 100F ambient and if a fan on the inside reduces cooling time.
Mark B.
Albuquerque, NM