I had never heard of these things, but reading the Wikipedia article on it just now made my Electrical Engineer heart all warm and fuzzy. That is one hell of a cool way of going about amplification.
Regarding your actual question, it seems their main benefit is the low heat dissipation, which in turns allows for smaller devices. Sounds like one of those things where "audiophiles" rag on it purely because it ain't the "proper way" (read: the way they can understand).