That may be your definition of “natural born citizen”, but it is not so stipulated in the Constitution, which does not define the term. Leaving the matter to the discretion of Congress.
The operative law being 8 USC 1401 “(g)a person born outside the geographical limits of the United States and its outlying possessions of parents one of whom is an alien, and the other a citizen of the United States who, prior to the birth of such person, was physically present in the United States or its outlying possessions for a period or periods totaling not less than five years, at least two of which were after attaining the age of fourteen years:”
Yeah, someone could challenge that and it would go to SCOTUS, but a plain-language reading seems rather dispositive.
“That may be your definition of natural born citizen, but it is not so stipulated in the Constitution, which does not define the term. Leaving the matter to the discretion of Congress.”
At the time the phrase was written, the phrase was known. So, no, it was not up to interpretation.