If Cruz is eligible, how is Aldo Mario Bellei not? They share the exact circumstances of birth, yet Aldo Mario Bellei was stripped of citizenship.
I cannot imagine a natural born citizen being stripped of his citizenship for failing to meet residency requirements. Can you?
Yes. It's not hard.
All you have to do is accept that citizenship in the United States was defined a good deal like it was in our mother country, England, and that "natural born citizen" really means "citizen at or by birth."
There is some indication that while the status of persons born on the soil (of both England and America) was never subject to any control of the legislature, it was different with those born to citizens abroad.
By this understanding, Congress has the authority to define who is and is not a citizen by birth (or a "natural born citizen") in the sole case of those born to American citizens abroad.
It's not that hard.