Even looser than that. If ones qualification is not questioned, or if there is no record of a naturalization ceremony, then "they're in." We know that dual citizenship at birth is not a barrier.
Naturalization laws were the focal point in Rogers v. Bellei, an early 1970's case which depends on finding that a person "born a citizen" by dint of statutory law, is "naturalized" even though there is no ceremony. That rule of law is not going to operate against a presidential candidate, ever.
I figure this is one of the minor parts of the constitution that has been rendered inoperative by the fedeal government. A much bigger part is the extent the constiutuional principles of "enumberated powers" and "limited federal government" have been run over.
The government doesn't have to follow the constitution. The people aren't going to rebel.
You are right about one point, for sure. The judiciary and the bar all believe that the Natural Born Clause was to block some son or grandson of George III from seizing power of the United States. The question will never reach the Supreme Court.