Dishwasher Heating Methodology
HOW? This machine fills for the prewash without the motor running then sits and heats the water.
I think you answered your own question. At our last house we had that situation, the hot water tank was about 50' away from the kitchen. You'd have to run hot water for a long time to get anything above ambient temps before running the DW. We finally got a Maytag DW that heated the water. A KA 100F pre-rinse is much better than a 60F pre-rinse!
The difference between the Maytag and a KA is that the Maytag keeps circulating the water while heating it, the KA sits and heats first before washing.