The blockquote refutes the contention that "must register birth at the US Consulate to convey citizenship."
Cruz is a citizen of the US, even if his birth was not registered at the US Consulate. He is a US citizen even if he never obtains certification of citizenship.
He is a citizen at birth if his mother was a citizen at the time of his birth and satisfied the residency requirements. That’s the proof part. It’s not automatic but its not rocket science either. I never asserted that must register birth at the US Consulate to convey citizenship. There are other avenues.
Maybe, and that is a slim maybe but for sure Ted Cruz is not a Natural Born Citizen. Sans his CRBA his is at best a grand fathered in naturalized US citizen, maybe.