Dunno if its true or not, but ages back read about the problems of holding your brakes on (any car, but mostly autos for the reasons mentioned) after doing some spirited driving. The issue was that after spirited driving your brakes are very hot, and then stopping and holding the brakes on would localise the heat on the pads against that part of the disc, possibly distorting the disc a bit and also transferring hot pad material to the disc leading to things like a bit of brake judder later on and the feeling of warped discs etc.
I don't drive autos on a daily basis, sorry don't like them, but was amusing ages back on my first go trying out a semi-auto gearbox. It has the change stick where a normal gearstick was, and you pushed forwards or backwards to change gear. So off I set in first gear, all fine, went to change into second and pushed my foot firmly down on the clutch pedal whilst moving the gearstick to change to 2nd....... but of course autos don't have clutch pedals and the person in the passenger seat was super glad they had their seatbelt on that day