I am not sure that I understand your question completely.
However, the point I am making is that there can be MANY paths to Natural Born Citizenship, and that naming the obvious path does not rule out the other paths to Natural Born Citizenship.
It is without question that those born on U.S. Soil to two U.S. Citizen parents are Natural Born Citizens.
However, it is also possible to be born on foreign soil and to be a Natural Born Citizen, if that birthright can be passed on to you due to a qualified citizen parent.
I think I now see where we differ in one respect as to ‘natural born citizen’. You note, if I understand correctly, that one possibility is that being born anywhere on earth with ‘ONE’ parent being a citizen of the USA makes that person eligible for POTUSA. I respectfully disagree. I see the Constitution as requiring ‘Both’ parents to be USA citizens. With me the place of birth presents a further question. I believe ‘natural born’ was intended by the Founders to include place of birth though some might think more in terms of type of birth. I also believe the Founders left leeway for place of birth to include USA soil anywhere on earth. USA soil includes territories, embassies, and like earth under USA control. This brings up the matter of McCain’s eligibility for POTUSA. In the strictest view McCain was not eligible because he was born in a hospital outside the USA controlled Canal Zone. I believe the Democrats knew this when the Senate passed It’s worthless resolution but believed they had a challenge in the case that McCain won the election. They won and so the only remaining problem was to protect Obama’s hidden past.