People can be American citizens at birth yet still not be ‘natural born citizens.’
The Constitution acknowledges this fact. There were citizens distinct from ‘natural born citizens’ before there ever was such a thing as a ‘naturalized’ citizen.
Actually the Constitution is silent on what constitutes a Natural Born Citizen. The founders clarified their intent with the firsts acts of Congress. What they actuall passed and signed into law is:
“the children of citizens of the United States that may be born beyond Sea, or out of the limits of the United States, shall be considered as natural born Citizens: provided, That the right of citizenship shall not descend to persons whose fathers have never been resident in the United States”
“The Constitution acknowledges this fact. There were citizens distinct from natural born citizens before there ever was such a thing as a naturalized citizen.”
That is incorrect. Naturalized citizenship has existed ever since prehistoric times when brides were captured from alien tribes. In more recent eras, naturalization by the statutory laws of Parliament has been ongoing since the 14th Century.