[Sibre Fan]

There is a clear distinction made in Wong Kim Ark, between a child born here of a resident alien, and the natural-born child of citizens.

Where? It's not there, sorry. Wong and multiple other Supreme Court and other cases clearly use "native born" and "natural born" interchangeably to mean the same thing -i.e., to mean born in the USA.

[RegulatorCountry]

Both native and natural born are born in the United States, Sibre Fan. And yet, they are not entirely the same. That much is obvious because the terminology is not the same. So, what distinction do you suppose can be made, between citizens born in the United States? I'll give you a hint: the Constitution makes the distinction, and only for election to the executive branch.