The information in the op is not listed in your links.
Yes, it is. The link you posted on April 2, 2013 was to an old policy manual from the Immigration and Naturalization Service (INS). The INS was abolished on November 25, 2002 when its functions were transferred from the Department of Justice (DOJ) to the Department of Homeland Security (DHS).
As I said, the USCIS has reorganized its website. Here is the old Adjudicator's Field Manual, which has been replaced by USCIS Policy Manual, Volume 12: Citizenship & Naturalization.
Here is the current service law book on the U.S. Citizenship and Immigration Services (USCIS) website for section 324 of the Immigration and Nationality Act (INA).
The text exactly matches that of Title 8 - Section 1435 of the U.S. Code and the text of the original Immigration and Nationality Act of 1952, which is as follows:
Such person, or any person who was naturalized in accordance with the provisions of section 317(a) of the Nationality Act of 1940, shall have, from and after her naturalization, the status of a native-born or naturalized citizen of the United States, whichever status existed in the case of such person prior to the loss of citizenship:The INA of 1952 repealed the Nationality Act of 1940. In 1940, the text read as follows:
Such person shall have, from and after the naturalization, the same citizenship status as that which existed immediately prior to its loss.Whoever wrote the relevant interpretation of Section 324 of the INA in the Adjudicator's Field Manual added "natural born citizen" on their own. The actual law says "native-born" and has since it was passed in 1952.