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!
Usually when people talking about double-spending, they mean using their coin/money twice (ignoring whether
first transaction become invalid or
both transaction are valid which causes inflation).
IMO you should specify your
specific definition of double-spending on your thread.
Well, you are right and I did it above thread and by striking through the wrong perception and bolding the correct one in your comment.
As I've mentioned in my latest reply to @odolvobo, it is very critical to distinguish between the two nowadays because the ambiguity leads to unjust assessment of most improvement proposals.