The Supreme Court that decided this issue in 1899 was entirely appointed by Republicans, and they found against your reading. “Not under the jurisdiction of the US” means diplomats’ kids under immunity and nobody else.
You’re wanting A to read B because you like B better. A is correct.
I asked you a question, not them. Do you know enough about what you are talking about to form and express a cogent answer to that question, in your own words?
How did "being under the jurisdiction" of the US become a grant of citizenship?