Yes, but the 14th in no way can redefine the original meaning of the phrase when it the Constitution was ratified, and of course Congress has no authority to arbitrarily assign a meaning either, even if the Supreme Court says they can. To “fix” this a simple amendment striking the language entirely is needed.
Nowhere in my post did I purport to define NBC. What I said was that the 14th amendment disposes of the Cruz case. Cruz is naturalized. Saying a person is naturalized does not define NBC, but defining NBC is not necessary to decide the case of a naturalized person.