Very little is always true.
That statement is partially true
ahem... sorry...
On topic. This is an old thread that's bobbed up again (like a corpse from a shipwreck?

)... seeing it this morning got me to thinkin' about -- economics -- and (predictably) also thermodynamics.
A decent quality (work with me, now!) Class AB amplifier can be built with a very low parts count using (still) very inexpensive parts. Class D amp boards can certainly be built
cheaply 
but they're still hella complicated (lots of itty bitty surface mount parts, and chokes, filters and suchlike to deal with out of AF band hash and noise) -- there's
more to go wrong with a Class D amp board and it's
far less likely to be repaired -- or to be feasiby repairable than a simple Class A or AB amplifier made with 'discrete' parts. I don't literally mean "discrete"; ICs are OK! -- but I do mean
macroscopic parts

and thus readily (and inexpensively) field/bench-level reparable and not
disposable.
So... yeah... there's heat: The fashion even in most of the "value-priced" Class D components seems to be tiny, unventilated packaging and minimal heatsinking.

Convective cooling (dude...
vents -- not rocket science

) and a little airspace (even less rocket science-y)
... and then there's efficiency.

The whole thing about the
environmental impact of a thing is that one
must evaluate this with a
cradle to grave perspective... the impact of making, stocking, and shipping the parts and the impact of assembling, shipping, using, and disposing of the product.
"We" all tend to focus on the "using" piece -- and Class D amps are considerably more efficient than amps using A or AB topologies
at near-maximum power output levels. Class D amps lose some of their advantage at idle and at low power output levels. How this nets out int he real world -- I don't know!I I have still not seen data showing that using the a Class D vs. a Class AB amplifier in the real world (e.g., playing music through actual loudspeakers at a finite SPL for a given period of time) has a marked
overall advantage in terms of its
energy consumption (watt-hours, i.e., power x time = energy). Maybe Class D amps really do have a real-world advantage, and I'd love to be pointed to some data!