Yes it does. My son is a citizen because I declared him so at birth and got a certificate of live birth from the State Department. Otherwise and forever, he would be a German citizen.
“because I declared him so at birth”
Nope. You informed the Consulate of a fact. You did not create the fact by reporting the fact.
f. The Form FS-240 is not a birth certificate, such as is issued by a government- authorized bureau or office of vital statistics, because consular officers are not authorized to assume a foreign local or state vital statistics function. The Form FS-240 is a consular declaration of the fact of acquisition of U.S. citizenship at birth based upon:(1) The certification of, or attestation to, the facts of birth by a legally authorized local official in the place where the birth occurred; ... [items (2)- (6) follow]
-- ... got a certificate of live birth from the State Department. --
ROTFL.