I got into a discussion about that with a Hispanic fellow some years ago. He preferred “Ibero-American” to “Latin American.” I think it was because it sounded better rather than what it meant.
In view of the fact that the Iberian peninsula comprises Spain and Portugal, I would say that Brazilians and Mexicans (among others) are both Ibero-Americans.
Our discussion continued. We agreed that Haitians were Latin Americans, but not Ibero-Americans or Hispanics.
I did ask him if Quebec was part of Latin America. He said no. To my mind, if Quebec ever broke away from Canada, it would definitely be Latin American. As is, it’s sort of fuzzy...but I’ll agree it isn’t.
I think that you and I can agree that the more you look at the groups, the less they mean. Are Whites who immigrated from South Africa “African American”? What in common does my friend Pat Kuhne, of german extraction, but from Columbia, with Tony Resco, from Cuba?
It is an exercise in adding apples and oranges, multiplying by watermelons, and dividing by grapes. Little quantitative information is contained in classes.