Do you realize that you just said he is a citizen under the Authority of Congress to make the rules of Naturalization?
If Congress uses their powers of naturalization to make him a citizen, then he is defacto a "naturalized" citizen. Actually, this is exactly what the Supreme Court held in Rogers v Bellei.
Bellei was a naturalized citizen, and so is Cruz. They were naturalized before birth, en masse, and in accordance with a statute passed by Congress which has the authority to do so under the "naturalization" article you cited above.
Thanks for the link to the Supreme Court opinion.