I can’t comment on your home -— birtherland -— never been there. Thanks for conceding the point though. The link you provided showed that the founders translated naturels in 1781 to mean natural-born. It’s only natural (pun intended), that they would read the French version of Vattel and translate it themselves to mean natural-born citizen. And again, the point that you dropped along the way, is that the founders considered native-born to be the SAME ... meaning born in the country to citizens. Under this understanding, Obama is neither natural born or native born ... except of course in his home country of Kenya.
No, they translated “sujets naturel” as natural born. That is because “sujets naturel” was the French equivalent to the English ‘natural born subject’. Pretty easy to figure out, isn’t it?
They did NOT translate “naturel”, by itself, as NBC or NBS. And Vattel did not write “sujets naturel”.