Class A ampliers and lower impedance loads

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The output stage in a class-AB amplifer has to pass more current into lower impedance loads. In this case the amplifier runs warmer.

Is it the reverse for class A amplifiers? That is since the output stage dumps more current onto the speaker does it run cooler with lower impedance loads?
 
No.
the power dissipation in the amplifier goes down as the load dissipation goes up, until the amplifier reaches the ClassA current limit.

That ClassA current limit does not change with a low impedance load.
But your amplifier will hit that current limit earlier because by halving the load impedance you also halve the power output.
I.e. for the same SPL, the amplifier has to be turned up and that increases the output current by roughly 40%
You now end up listening in ClassAB mode for more of the time and the amplifier ends up running warmer.
 
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