I think you miss the point.
The critical fact here is not the narrow or broad specifics of what constitutes a citizen at birth but, rather, that a citizen at birth is indeed considered a natural born citizen either by jus sanguinis or jus soli.
No one is claiming (that I’m aware) that Cruz wasn’t a citizen at birth via jus soli. The only debate, weak as may be, is that a citizen at birth is not neccessarily considered “natural born”.
A person born out of the jurisdiction of the United States can only become a citizen by being naturalized either by treaty, as in the case of the annexation of foreign territory, or by authority of congress, exercised either by declaring certain classes of persons to be citizens, as in the enactments conferring citizenship upon foreign-born children of citizens, or by enabling foreigners individually to become citizens by proceedings in the judicial tribunals, as in the ordinary provisions of the naturalization acts.
Well, not that I “missed” the point, it is simply that there is so much “brush in the woods” when we start discussing NBC.
As you can see from my previous posts, I trust in jus sanguine in combination with a tempered jus soli.
Who’s to say?