The term "North America" almost always means US or US and Canada, hardly ever the technically correct "US, Canada, Mexico" except in things like NAFTA.

And "Central America" often means "Mexico and countries south that speak Spanish" even though LATAM might be a bit closer.

Other nonsensical terminology also existing would imply nothing about the usage of "Asia". That said, I'm not sure I see the same incorrect usage of North America as you do, either.