Yes this is very true, as I don't have central heat the KSA100 is very useful 650 watt fan heater in the winter months.
Although my daily driver is a KSA50S and that barely gets warm even after several hours of blasting it out.
I don't think there is anything necessarily 'magical' about class A, I just use these amps because they don't wimp out into low impedance load.
Maybe a big class D would also cope (the little TPA3116 certainly couldn't) but I stick with what I know works.
They can ban them if they like, I'll just ignore the ban