(Might have greatly misinterpreted the question audience but) I've only been to Mexico once when I was a little kid, and I keep forgetting where Puerto Rico is exactly, but for me it's definitely a cultural identity sort of thing that came with growing up close to my culture through family. Once I started sort of realizing the dividing labels of the world, I obviously stuck to what my family told me I was and what I knew I was, despite some people trying to take that away from me (I don't look stereotypically Mexican-American which led to many weird comments attacking my heritage and passion), which in turn solidified my stance on my heritage.
I relate to a few points from others about "not counting as their own" which is definitely true/relatable for Latino-Americans and the countries their ancestors come from - I see it all the time. Which is why many like me resonate with an in-between term like Chicano, meaning Mexican-American in the sense of being in that in-between. I don't really identify with just "American" as that shoves over all that culture and tradition I can relate to others with. So I'm deeply Boricua-Chicano as I began calling it.