The Act also establishes the United States citizenship of certain children of citizens, born abroad, without the need for naturalization: "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".
Would you be so kind as to quote how this passage reads AFTER the Naturalization Act of 1790 was repealed by the Naturalization Act of 1795?
The Act also establishes the United States citizenship of certain children of citizens, born abroad, without the need for naturalization: "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".
Congress only has the power of naturalization. They can't legislate who is a natural born Citizen. That is defined by Natural Law.
Regardless, you failed to mention that The Naturalization Act of 1790 was repealed by the Naturalization Act of 1795 with the lead of then rep. James Madison and the approval of George Washington and specifically changed "shall be considered as natural born citizens" to "shall be considered as citizens of the United States."
Article II, Section 1, Clause 5 provides that a Citizen of the United States was eligible to be President only if born before the adoption of the Constitution and that thereafter only a natural born Citizen was so eligible. Hence, Congress referring to one as a citizen rather than a natural born citizen, given the presidential eligibility requirements of Article II, was a serious thing.