But INA 301(a) refers to "a person born in the United States, and subject to the jurisdiction thereof." If 301(g) is a naturalization statute, isn't 301(a) also? Doesn't that mean everyone "born in the United States, and subject to the jurisdiction thereof" is also "naturalized at birth" and therefore not a natural-born citizen? Who's left?
A person born in the US to citizen parents would be a citizen without INA 301(a).