You didn't read the decision, it was up for debate in 1898 Wong Kim Ark. Every justice cites it. Wong Kim Ark gives 4 exceptions, and it isn't clear if those exceptions are comprehensive or not.

And you didn't read the majority's breakdown of `subject to the jurisdiction`'s historical meaning, otherwise you would know that the power to arrest is not the same concept.

You have made false claims and appears you are commenting on something you haven't read.