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I would certainly vote for leaving the usage of 'heat' alone in the
introductory texts. If there really is a concensus, then perhaps some
pressure could be placed on the writers/editors of 'University Physics'
texts for more 'precise' use, but leave the 'College Physics' and high
school texts alone. It seems to me that to limit the usage of 'heat' to
the classical thermodynamics meaning would only obfuscate the topic for
non-majors. For these beginning students, we need to work from their
experiences and their vocabulary and the common treatments in introductory
texts tend to do this.
As far as changing the word in thermodynamics, if we think physics majors
are too dumb to understand that 'heat' has a much more restrictive meaning
in this context, then we could change it.