To be even more clear:
Defrauding people by re-org attacks on blockchains is not double-spending because it doesn't inflate the coins in circulation, it is just a fraud!
I see what you mean. When you restrict the meaning of double-spending in that way, then can I agree with you.
But what you call a "misinterpretation" is really a different understanding of the word's meaning. If you modify your approach, you could reduce the confusion about your point.