Krypton asks:
But then why, on a full down engine out auto, is there no torque spin on raising the collective?
On an engine off auto (have you ever done one? Not just having the engine at idle) you still have control of the tail rotor, unless you are in a 206 with a driveshaft failure and you have shut down the engine. Raising the lever will make the nose go left, through friction, and right pedal should keep you straight.
I seriously hope you are not a 206 pilot. If you are, you need to read the flight manual.