So if Class H is still analog, what is BENEFIT over A/B. Just power consumption/weight?
Yep, attempt to get to Class D efficiencies of manufacturing as well as power usage without the switching issues.
If the linear amp is kept in Class-A, then the efficiencies over a Class A are really outstanding. AFAIK, they make no claim that H is better sounding than A or A/B, but as good, with much higher efficiences.
The point made elsewhere, that it’s all in the implementation, is really important.
It may help to understand that due to FTC rules, most amplifiers have to be heavily overbuilt. FTC rules require pre-heating at (I think) 30% of the rated power for an hour before testing for noise, distortion and output. This is a situation never encountered in music. If you have a 300 W amplifier, you don't play music at 100W continuously. To meet the FTC requirements an amp must have excessively over-built heat sinks, which adds so much to manufacturing and transportation costs. Anything that reduces the weight of an amplifier not only makes it cheaper to make, but greatly reduces the carbon footprint.