Not unusual to run cool without signal and getting hot processing audio signal into noise.Class A amp, not the ones that runs a few watts in CLASS A and then operates in class AB after, runs cool, assuming the bias was throttled down or something else is amiss, does it now operate in class AB or does it still run at class A but at a lower quality of sound
Not unusual to run cool without signal

Never said it cant be made to run hot with no signal. Isn't that what biasing is for?
Try dialing in the class A idle current on a CA-1000 at 940mv and tell me it don't get hot at idle.
High bias is KEY to class A... Isn't that what biasing is for?
High Bias is?????High bias is KEY to class A..
Relatively speaking.. For instance.High Bias is?????
Bias on my HK12 set's between .8 &.13 MV. When that number was high, say 30+mv, the transformer, on that side gets hot but the outputs get very hot. As I tune it down into the recommended range you can feel the outputs cool.
Class A bias is set to switch the outputs on but just barely conducting. This is for linearity in reproducing the full signal as efficiently as possible for linearity.
My AMP has been playing for 4 hours at about 25% signal volume and the outputs are barely warm to the touch. The Transformers are both very warm but not close to hot. They all heat up as I turn up the volume.
What you are describing is class AB or class B biasing. The defining principle of Class A operation is that all of an amplifier’s output devices must be conducting through the full 360 degree cycle of a waveform. An amp running true class A will actually cool down as you increase the volume and power output.
I always thought class A setups were to bias the devices into conduction (idle, never shut off, therefore no crossover distortion) but not saturation.
This sounds like the reverse of amplifying, if a device is in max current (saturation) then any increase on the input does not provide any increase (amplification) on the output.
I don't believe enough bias to conduct full 360 of a particular voltage/current swing of the output is necessarily synonymous with saturation, but maybe I'll learn something new.
I have been looking to shore up your description of Class "A" to Class 'AB" with biasing adjustments.What you are describing is class AB or class B biasing. The defining principle of Class A operation is that all of an amplifier’s output devices must be conducting through the full 360 degree cycle of a waveform. An amp running true class A will actually cool down as you increase the volume and power output.
Mine is a push-pull with 24 output transistors