It's total nonsense to reach no conclusion as to Bellei, and simultaneously make one as to Cruz. Both were born of US citizen mothers, alien fathers, and born abroad. If Cruz is a citizen without resort to a statute, then so was Bellei. But that isn't the case, and you know it.
You are just making things up. SCOTUS has labeled persons born abroad to one citizen parent as "naturalized." There are zero precedents to the contrary, and thousands of citizenship cases that apply the rule of law stated in Bellei, WKA, Miller v. Albright, etc. Courts rule thusly on a regular basis. That they don;t take a case when the subject is a presidential candidate is fecklessness on the part of the court system.
The only reason I make no statement about Bellei is that I don’t recall the facts of the case right now, and I am not particularly interested in looking them up in any case. And sure, the courts might have got it wrong. They often do.
Also, I am not particularly concerned with what some court or other has said in their dicta. It’s meaningless verbiage. I am far more interested in what the US Code says, and it defines naturalization as a process that takes place AFTER birth, never at birth or before. Any US Citizen at birth is by definition NOT naturalized.
You are so wrong about all this, that I don’t think it possible to get you turned around. Maybe you will come to it on your own, as I did, or maybe you will live on in delusion for your entire life.
Either way, I’m OK with it. No sweat off my brow.