"...a good heatsink will make the air get hotter than a bad heatsink. If transferring heat to the air was bad, we'd all have cases and heatsinks made out of styrofoam."
It's all relative to the capability of the hsf, i would think a TRUE would leave the air cooler than a stock hsf as it dissipate's the heat quicker. Therefore there is less heat at any one point of the aftermarket hsf than a stock hsf.
Sure there is more surface area to spread the "warm air" but the stock hsf would expel hotter air and not be able to absorb/contain the heat anywhere near as well. Over a long period of time 2 rooms with pc's and 1 of each hsf would reach similar temps as the same amount of energy is being emitted, just at different rates.