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I assume this was meant to say not just any energy,
but energy that is being transferred in thermal form.
Surely the heat-is-a-verb partisans don't think that
simple macroscopic F dot dx energy transfer is "heat".
Unfortunately, no matter how carefully heat-is-transfer
idea is expressed, it remains a Bad Idea.
It is occasionally true but _not generally true_ that
energy in motion can be divided into a purely thermal
piece and a purely non-thermal piece.
It has been known
for over 200 years that thermal energy is not conserved
separately from other forms of energy.