Yes, the naturalization act of 1790 was replaced by 1795, who also was exercising their enumerated constitutional authority. And that act was repealed and replace and so on and so forth until we get to the current law as expressed in Title 8 section 1401 - Citizens at birth.
You seem to be going out of your way to avoid the central point. Congress has no authority to define the intent of the Framers in choosing language in the Constitution. Further, after the enactment of the 1795 act because of the constitutional questions raised by the 1790 act, Congress never again used the precise Article II presidential eligibility phrase: “natural born citizen.”