I am all for rinsing in water that is not painfully cold, but water does sublimate so it could go from a frozen solid to a vapor without having to absorb enough heat to change from a solid to a liquid state before changing to a gaseous state. Water will evaporate, albeit at a slower rate, at lower temperatures. That is why you can hang things to dry and they will dry eventually. Depending on water to be boiling hot, 100C or 212F, for vaporization is not achieved in most dryers except maybe Filtrators and some condenser combos. With those machines, which depend on high temperatures, heating up the load with warm or hot rinse water heated by a gas water heater certainly helps shorten the drying time since you are shooting for raising the temperature of the whole dryer atmosphere above 200F for cottons so that there will be a great temperature difference between the steamy air and the cold air or water temperature for condensing. Air flow dryers can slowly, but eventually, dry clothes on 120 volts at much lower temperatures. A Maytag HOH dryer has a heating element about 400 watts larger than the Filtrator, but the air flow through the drying load keeps the exhaust heat around 110F because of the cooling effect of evaporation. It is only after the load is dry that the temperature starts to climb. That is why the electronic control HOH dryers have the Permanent Press (or Wash 'n Wear in older models) cycle. It is after the load is dry that this cycle allows the temperature to climb to 160F to make sure the wrinkles are relaxed out of the no-iron fabrics before the dryer goes into the thermostatically controlled cooldown. That is also why Maytag recommended this cycle for items needing extra drying.
Beyond the better rinsing in cool water, say 75F, because the fabrics are relaxed and water can more easily flush out the detergent and dirt held in the fibers, relaxed fabrics give up more water in extraction because they compress better. Maybe the real trade off, since most of us are not using condenser dryers, although Jon uses his Duomatics, is if a significantly greater amount of water is left in fabrics spun after a stone cold rinse than in fabrics rinsed in warmer water. Maybe not, but those of us who like to rinse in cool water as opposed to 42F cold water will continue to do so and those who don't mind rinsing in cold will continue to do that.
Beyond the better rinsing in cool water, say 75F, because the fabrics are relaxed and water can more easily flush out the detergent and dirt held in the fibers, relaxed fabrics give up more water in extraction because they compress better. Maybe the real trade off, since most of us are not using condenser dryers, although Jon uses his Duomatics, is if a significantly greater amount of water is left in fabrics spun after a stone cold rinse than in fabrics rinsed in warmer water. Maybe not, but those of us who like to rinse in cool water as opposed to 42F cold water will continue to do so and those who don't mind rinsing in cold will continue to do that.
