It is jurisdiction in political sense, as in who is your sovereign from which you hold citizenship or at least the legal right of residence somewhere.
A visitor from a foreign nation is not even disputing that their home nation has the jurisdiction as to their citizenship, and an illegal is denying that U.S. law can even question the right to determine their’s. The former has the jurisdiction question settled by their recognized citizenship and the latter denies any application of the question to them - as though they are above the law.
Well said.