That is correct.
The US, and I assume some of its territories as well, includes people who are not citizens or nationals, but are legal residents.
Children of those legal residents, who are not US nationals or citizens, born in Guam, Puerto Rico and the Virgin Islands, are made citizens of the US at birth, by operation of Acts of Congress. They have exactly the same status that Ted Cruz had at his birth, also by operation of an Act of Congress. Congress already decided that those persons are citizens.
I was not referring to American Samoa or the Marshall Islands.
I see. Yes. We should revisit what is called birthright citizenship. Children of illegals and of people here on temporary visas, they should be parents of their parents’ country.