This class of citizenship avoids all legal rights and claims of, by and for that child by any other nation and, to some extent, nationality.
Born in country to citizen parents is the gold standard for undiluted citizenship and would naturally be what the FFs would want for the single person granted essentially one third of the government's power and control of the military.
They were practical and loyal to what they were creating here. No way they'd go with any lesser standard for the highest office.
You do not have to be born in the US to be a NBC.
You simply have to be born without citizenship to any other country except the US.
The NBC requirement to be president was manly done as a way to prevent war like the wars that had taken place in Europe for centuries as the ruler of one country laid clam to another country simply because of their “birth right”.
No president of this country could ever make the claim to another country as his “birth right”.