No, that’s not my reasoning. It’s clear from various court decisions that a child born to two citizen parents under US jurisdiction is a natural born citizen, but it’s not clear that a child born under other circumstances is a natural born citizen. That does not mean that such a child is not, but it creates doubt. Such doubt apparently can be resolved, again according to various court decisions. However, there has been no occasion to resolve such doubts up to now.
I guess, then, that it’s likely I am not a natural born citizen, since at the time of my birth, here in the U.S., though my father was a U.S. citizen, my mother was not.
Hell, had I known I was likely not a citizen I may have told Uncle Sam to shove it up his ass when he called my number.