What I posted is current law. As in - 8 U.S. Code § 1401 - Nationals and citizens of United States at birth
You posted current law as to “citizens,” which is completely irrelevant to the issue.
The only time naturalized or other legal created citizenship would apply to presidential qualifications was at the time of adoption of the US Constitution as it says in black and white.
The Clause at issue is this one please note it distinguishes natural born citizen from citizen.
“No person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President;...”
The only time a legal-created citizenship mattered for president was “... at the time of the Adoption of this Constitution,” and this aint 1776 no more.
But not “Natural Born” citizens.
You posted a naturalization law for aliens.