This sounds a little strange to me. I thought that N-600 applicants do not take the naturalization oath (since those who are approved are already U.S. citizens and they are not getting naturalized) and do not have an oath ceremony as such, but rather just take a short oath during the interview.
The reality is that they are being informed of what their parents did to them by being made familiar with their obligations and responsibilites as a citizen as stated in the Oath in exchange for a Certificate of Citizenship. Also, it is a golden opportunity for a "feel good moment" and good PR with positive press.
INA 341. [8 U.S.C. 1452] CERTIFICATES OF CITIZENSHIP OR U.S. NON-CITIZEN NATIONAL STATUS; PROCEDURE
(a)
A person who claims to have derived United States citizenship through the naturalization of a parent or through the naturalization or citizenship of a husband, or who is a citizen of the United States by virtue of the provisions of section 1993 of the United States Revised Statutes, or of section 1993 of the United States Revised Statutes, as amended by section 1 of the Act of May 24, 1934 (48 Stat. 797), or who is a citizen of the United States by virtue of the provisions of subsection (c), (d), (e), (g), or (i) of section 201 of the Nationality Act of 1940, as amended (54 Stat. 1138; 8 U.S.C. 601), or of the Act of May 7, 1934 (48 Stat. 667), or of paragraph (c), (d), (e), or (g) of section 301 of this title, or under the provisions of the Act of August 4, 1937 (50 Stat. 558), or under the provisions of section 203 or 205 of the Nationality Act of 1940 (54 Stat. 1139; 8 U.S.C. 603, 605), or under the provisions of section 303 of this title,
may apply to the Attorney General for a certificate of citizenship. Upon proof to the satisfaction of the Attorney General that the applicant is a citizen, and that the applicant's alleged citizenship was derived as claimed, or acquired, as the case may be, and upon taking and subscribing before a member of the Service within the United States to the oath of allegiance required by this Act of an applicant for naturalization, such individual shall be furnished by the Attorney General with a certificate of citizenship, but only if such individual is at the time within the United States.
8 CFR § Sec. 341.7 Issuance of certificate.
(a) If the application is granted, a Certificate of Citizenship shall be issued and, unless the claimant is unable by reason of mental incapacity or young age to understand the meaning thereof, he or she shall take and subscribe to the oath of renunciation and allegiance, prescribed by part 337 of this chapter, before a member of the Service within the United States. Thereafter, delivery of the certificate shall be made in the United States to the claimant or the acting parent or guardian, either personally or by certified mail.
