I say that citizenship is automatically vested by operation of 8 USC 1401(g). 1401(g) describes circumstances of birth, and does not make citizenship contingent on application for recognition.
The statutes impose conditions which must be met and authorizes Consular officers to deny the civil rights of citizenship until and unless those evidentiary and residence requirements are met. Since the civil rights are not forthcoming from the political community until and unless the conditions are satisfied, no current and future enjoyment of those civil rights in the political community will occur. Therefore, by definition, no vesting of those civil rights has occurred.