Nope. It extends to anything touching any power that Congress decides is necessary. Art I, Sect 8.
The decided it was necessary to define those cases that automatically possessed citizenship.
Reality is the law says that Cruz is a "citizen". The law does not say that Cruz is a "natural born citizen".
If you don't like that then you can climb aboard your time-machine and have the law re-written as you see fit. Go ahead - I'll wait. Huh? What's that? You don't have a time-machine? Bummer for you.