Let's get back to this:
So if *I* had failed to report for induction, I would have lost my citizenship?
You seem to have left it on the table for some reason.
Government bureaucrats are charged with implementing laws passed by Congress and laws can be challenged via the judicial branch.
I made my comment about Rogers v. Bellei. I don’t anything else to say on that tangent.
The actual law of the land that governs Senator Cruz’s birth circumstances seems much more relevant.