continuation of water temps
I am using a GE right now, also, and it only heats the water on the main wash. There are are three pre-rinses prior to the main wash. By this time, the cooler water has flushed from the lines, and the lines and interior of the dishwasher are substantially warmer than room temp or 108 degrees.
In fact, the first two pre-rinses are quite short and the cool down of the household piping in between fills, is minimal in that time. I have not put a thermocouple in the DW tub, but by the time the third pre-rinse initiates, the inlet water temp is most likely at or near its max temp, and steam is present.
The GE Potscrubber does not use 2 gallons/fill. It's approximately 1.2 gallons, with some variance due to the household water pressure.
Even so, the "calrod" heating element does come on shortly during the main wash, but my water is hot enough, it adds only about 5 to 7 minutes, based on the times GE has posted on the schematic, for the various cycle configurations.
If your water heater, Arbilab, is set at 120, you are not getting 120 at the dishwasher water inlet, nor at your faucets. I have no idea of your plumbing configuration (that is, your household plumbing, hehe), but you could easily be getting 110 deg or cooler water entering your dishwasher.
GE's are not designed to cope with water temperatures this low, and will default, after a predetermined time, if it is not able to get the wash water up to temp.
You have set parameters, such as using the disposer for "one minute" that seem to be biased if favor of your viewpoint. There are many variables to be considered that you have not accounted for, or did not state.
How many people in the household? Is the disposer used for breakfast, lunch and dinner meals? Does the person rinse each dish under a continue flow of water while the disposer runs (which I have seen many do)? Is that one minute an average and is it accounting for occasional entertaining?
On a personal level, I think its fine if you like water below 120 degrees coming out of your faucet, and I am not trying to convince you to change. I am just looking at the issue in general.
If you are truly looking at economics, all studies I have ever read indicate that handwashing, is more wasteful of water and energy than using an automatic dishwasher.
If you are looking at general health and cleanliness issues, these have been addressed in studies over the years also, and once again, dishwashers are the winner.
You can keep your water coming out of your faucets at 110 degrees and I'll keep my coming out at 138-140. Different strokes, for different folks, as they say. If we were all alike, the world would be a boring place.