Still the "natural born citizen" is one born in the United States without an allegiance to a foreign sovereignty
No. The 14th Amendment automatically naturalizes someone born in the United States without an allegiance to a foreign sovereignty.
It doesn't make them natural born.
Not according to this commentary:
Framer of the Fourteenth Amendments first section, John Bingham, said Sec. 1992 of U.S. Revised Statutes meant “every human being born within the jurisdiction of the United States of parents not owing allegiance to any foreign sovereignty is, in the language of your Constitution itself, a natural born citizen.”