Perfect!
This is why I asked the OP what is the purpose of the NBC qualification if it allows such a person to be the President? Why would the NBC qualification even be there?
Yep, the reason for the natural born clause is moot if all that is required is citizenship at birth. There is a difference between natural born citizen at birth and citizen at birth.
No one can answer your question, for to answer it, is to answer why natural born citizen differs from citizen at birth.
“… Permit me to hint, whether it would not be wise & seasonable to provide a strong check to the admission of Foreigners into the administration of our national Government, and to declare expressly that the Command in chief of the american army shall not be given to, nor devolved on, any but a natural born Citizen. …”
There was a competing proposal by Hamilton, that included “born a citizen” phrase (without the word “natural”). We know which version ended up in the Constitution.