SEC. 3. And be it further enacted, that the children of persons duly naturalized, dwelling within the United States, and being under the age of twenty-one years, at the time of such naturalization, and the children of citizens of the United States, born out of the limits and jurisdiction of the United States, shall be considered as citizens of the United States: Provided, That the right of citizenship shall not descend to persons, whose fathers have never been resident of the United States: Provided also, That no person heretofore proscribed by any state, or who has been legally convicted of having joined the army of Great Britain during the late war, shall be admitted a citizen as foresaid, without the consent of the legislature of the state, in which such person was proscribed.
“Notice it clearly states that such children, born to Citizens abroad, are ‘citizens’, and NOT ‘natural born citizens’. Why? Did they want to make sure that no such children would end up being President? I don’t think so. The reason, that I think, they removed the ‘natural born citizen’ text, is because they realized that they didn’t have the authority leave it in. Being ‘natural born’ is an element of natural law, and no man is capable of changing the laws of nature. So they revised the text, to what they were capable of, and declared that children, born out of the jurisdiction of the US, to Citizens, would be ‘naturalized’, and not ‘natural born’, Citizens.”
The fact that it was removed is accurate, the reason for that is quite speculative.