And the same law is what makes a person born in the US a US Citizen. So by following your assertion and logic, there are no natural born citizens because the law makes everyone “naturalized”.
It has never been doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also.
8 U.S.C. § 1401 has never used the term “natural born citizen”.
8 U.S.C. § 1401 describes a variety of scenarios whereby a child is a citizen at birth. These citizens at birth are so by naturalization statute.
The only scenario 8 U.S.C. § 1401 does not describe is birth in country to two US citizen parents. These citizens are natural born citizens.
It has never been doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These citizens are natural born citizens, as distinguished from statutory citizens.