There are two types of citizens under our current systems of laws and court rulings. A person is either a natural born citizen or naturalized citizen. There are no other choices.
They are however, not “Natural Born” citizens as defined..and therefore not eligible to assume the office of V/POTUS.
Each was born in the United States. Each was subject to the jurisdiction of the United States when born. Each is a natural born citizen. Just like Vice President Chester Arthur, President Chester Arthur, or President Barack Obama.
Wong Kim Ark at 169 U.S. 662-63:
In United States v. Rhodes (1866), Mr. Justice Swayne, sitting in the Circuit Court, said: "All persons born in the allegiance of the King are natural-born subjects, and all persons born in the allegiance of the United States are natural-born citizens. Birth and allegiance go together. Such is the rule of the common law, and it is the common law of this country, as well as of England. . . . We find no warrant for the opinion that this great principle of the common law has ever been changed in the United States. It has always obtained here with the same vigor, and subject only to the same exceptions, since as before the Revolution."
Lynch v. Clark, 1 Sandf. 583 (1844), as published in New York Legal Observer, Volume III, 1845
It is an indisputable proposition, that by the rule of the common law of England, if applied to these facts, Julia Lynch was a natural born citizen of the United States. And this rule was established and inflexible in the common law, long anterior to the first settlement of the United States, and, indeed, before the discovery of America by Columbus. By the common law, all persons born within the ligeance of the crown of England, were natural born subjects, without reference to the status or condition of their parents.[...]
https://fam.state.gov/FAM/08FAM/08FAM030101.html#M301_1_1
[State Department, Foreign Affairs Manual]
8 FAM 301.1-1 INTRODUCTION
(a) Acquisition of U.S. citizenship generally is not affected by the fact that the parents may be in the United States temporarily or illegally; and,(b) A child born in an immigration detention center physically located in the United States is considered to have been born in the United States and be subject to its jurisdiction. This is so even if the child’s parents have not been legally admitted to the United States and, for immigration purposes, may be viewed as not being in the United States.