I’m sorry, but you are mistaken. Being under jurisdiction is like being pregnant — you either are or are not. You cannot be both. Maybe in your world, but not ours.
The problem for you is that the law, as presently interpreted anyway, agrees with me, not you.
Feel free to get to work and get that interpretation changed. I don’t even disagree with you.
The US is, and always has been, jus soli for purposes of determining citizenship, as it was common law before the Revolution.