sirspeedy, even a Class A biased amp? My amp seems to run hot no matter what's connected to it. I think in my case it's just a matter of whether the energy is being used for musical purposes, or dissapated as heat.
Using your car analogy, my car (amp) runs pedal to the metal all the time. It's just a matter of if the wheels touch the ground and transport me somewhere, or simply races the engine, if the transmission is placed in park while maitaining with the pedal to the floor.
I can understand your reference regarding a Class A/B designed amp, I don't know that this is the case with a Class A biased amp.