The, parents in service to their country, idea gives you citizenship by birth, not Natural Born Citizenship.
I know of just one court that examined that issue. Markham Robinson petitioned the the United States District Court for the Northern District of California for a preliminary injunction to remove John McCain from the ballot [Robinson v. Bowen]. To rule on the motion, the Court assessed the likelihood of Robinson winning on the merits:
At the time of Senator McCains birth, the pertinent citizenship provision prescribed that [a]ny child hereafter born out of the limits and jurisdiction of the United States, whose father or mother or both at the time of the birth of such child is a citizen of the United States, is declared to be a citizen of the United States. Act of May 24, 1934, Pub. L. No. 73-250, 48 Stat. 797. The Supreme Court has interpreted the phrase out of the limits and jurisdiction of the United States in this statute to be the converse of the phrase in the United States, and subject to the jurisdiction thereof, in the Fourteenth Amendment, and therefore to encompass all those not granted citizenship directly by the Fourteenth Amendment. Under this view, Senator McCain was a citizen at birth. In 1937, to remove any doubt as to persons in Senator McCains circumstances in the Canal Zone, Congress enacted 8 U.S.C. 1403(a), which declared that persons in Senator McCains circumstances are citizens by virtue of their birth, thereby retroactively rendering Senator McCain a natural born citizen, if he was not one already. This order finds it highly probable, for the purposes of this motion for provisional relief, that Senator McCain is a natural born citizen. Plaintiff has not demonstrated the likelihood of success on the merits necessary to warrant the drastic remedy he seeks.Note that the Court equated citizenship from birth with natural-born citizenship.
Thanks.
We do not always agree but -— nice work!