Vader, your imagination is fantastic! That scenario about going to work, coming out for lunch- man, you should write for some soap opera. Not much science there, though. The coolant stops flowing when you shut the engine off, so there will no, repeat NO, effect on the rate at which the throttle body cools down. It will cool about as fast as the rest of the engine, maybe a little faster since there is not much mass of metal there compared to the block/crank/heads. Also, since you clearly haven't looked, the coolant line attaches to the intake manifold BEFORE the thermostat. Thermostat doesn't stop flow to the heater, or to the throttle body. In moderately cold weather, the engine won't get down anywhere near ambient in a few hours- just too much heat stored in all that metal. So, the engine will start easier than it did after sitting overnight. The shop manual is correct, the coolant helps with quicker warm up, which, in turn, improves emissions, as captndave pointed out.