Deal with it. Minor v. Happersett and Wong Kim Ark both use Vattel’s definition and you know it.
Additions might always be made to the citizenship of the United States in two ways: first, by birth, and second, by naturalization. This is apparent from the Constitution itself, for it provides that "no person except a natural-born citizen, or a citizen of the United States at the time of the adoption of the Constitution, shall be eligible to the office of President," and that Congress shall have power "to establish a uniform rule of naturalization." Thus new citizens may be born or they may be created by naturalization.
The Constitution does not, in words, say who shall be natural-born citizens. Resort must be had elsewhere to ascertain that. At common-law, with the nomenclature of which the framers of the Constitution were familiar, it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives, or natural-born citizens, as distinguished from aliens or foreigners. Some authorities go further and include as citizens children born within the jurisdiction without reference to the citizenship of their parents. As to this class there have been doubts, but never as to the first. For the purposes of this case it is not necessary to solve these doubts.
So you see they acknowledge that there was a legal dispute about the meaning, which there would NOT be if Vattel was the end all birthers claim.
WKA goes much further.
"The Constitution nowhere defines the meaning of these words, either by way of inclusion or of exclusion, except insofar as this is done by the affirmative declaration that "all persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States." In this as in other respects, it must be interpreted in the light of the common law, the principles and history of which were familiarly known to the framers of the Constitution."
[Note they specifically insist that common law defines the term, not Vattel!]
"II. The fundamental principle of the common law with regard to English nationality was birth within the allegiance, also called "ligealty," "obedience," "faith," or "power" of the King. The principle embraced all persons born within the King's allegiance and subject to his protection. Such allegiance and protection were mutual -- as expressed in the maxim protectio trahit subjectionem, et subjectio protectionem -- and were not restricted to natural-born subjects and naturalized subjects, or to those who had taken an oath of allegiance, but were predicable of aliens in amity so long as they were within the kingdom. Children, born in England, of such aliens were therefore natural-born subjects. But the children, born within the realm, of foreign ambassadors, or the children of alien enemies, born during and within their hostile occupation of part of the King's dominions, were not natural-born subjects because not born within the allegiance, the obedience, or the power, or, as would be said at this day, within the jurisdiction, of the King."
As the dissent noted:
"Considering the circumstances surrounding the framing of the Constitution, I submit that it is unreasonable to conclude that "natural-born citizen" applied to everybody born within the geographical tract known as the United States, irrespective of circumstances, and that the children of foreigners, happening to be born to them while passing through the country, whether of royal parentage or not, or whether of the Mongolian, Malay or other race, were eligible to the Presidency, while children of our citizens, born abroad, were not."
Please don't post about decisions you haven't bothered to read.