Not at all. But if I'm following you correctly your argument is that Cruz cannot be an NBC because the circumstances granting his citizenship are included in 8 USC § 1401 and anyone gaining citizenship under that law are naturalized citizens. The clause I quoted is also in that code so wouldn't that also make them naturalized? By your definition?
Would Cruz be a citizen without USC § 1401?
You do realize that the laws cited are essentially the Immigration and Nationality Act of 1952 as amended and that Congressional power vis-a-vis citizenship extends to naturalization only, don’t you?
A citizen whose citizenship is dependent on statute is a naturalized citizen.