Your speaker is 88 dB and says power is 15-150W. Your amp consumes 180W in Class A..and pur class As these days have an efficiency of around 20% ( used to be 10)
If your Amp is getting hot it may primarily be because the unused power from Class A is being dissipated as Heat ( which is how Pure class A works)..hence in most probability the average consumption by your speaker is much less than 36W ( assuming 20% efficiency) although it may have a higher instantaneous pull.
Hence consumption would be around 180W..
Thanks for the explanation, are you saying that this operates initially for first 36 watts in class A and then AB?
Earlier I had CA 650A which is class AB at 75 watts per channel at 8 ohms and max consumption of 650 watts. I loved the 650A signature greatly and this upgrade improved dynamics to a very large extent where sound became more airy too. Is that because of the extra headroom?