I think the differences in this discussion go back to very fundamental
definitions of power and energy (and power flux, which might not be the same
as power). One set of terminology came from classical Thermodynamics and
the other set from more general principles. More fun may be had dealing with
the Second Law (which arrived from two very different viewpoints) and, for
example, quantum effects in the same discussion. The discussion can quickly
hinge on precise meanings of common words, such as "power."

Mixing terminology produces such wonderful concepts as measuring 100 watts
flowing at 100 points in a transmission line and concluding that we have
found 10,000 watts.

Bill
W2WO