It's a two-way street. Jurisdiction comes with responsibilities.
For example, from your list, persons born in US territories are not citizens of the US, but rather US
nationals. They have the right to reside in the US but don't have the full privileges and duties of a citizen. For example, they cannot vote in federal elections. They can apply for citizenship.
Ballotpedia: The Encyclopedia of American Politics
ballotpedia.org
The 13th amendment ended slavery and involuntary servitude. It didn't say anything about citizenship or who was a citizen of the US.