I haven't worked with boolean algebra for quite awhile. But I believe that the relevant wording in both Bingham excerpts that I posted is the equivalent of saying that if one or both parents is not a citizen then the person in question cannot be a nbc, corrections welcome.
Doesn’t say anything about who is NOT a citizen or NOT with 2 citizen parents. It addresses the case of a baby born in the US with 2 citizen parents. It says that child is obviously a natural born citizen. In fact, the very effort to point out that such a case is accepted by everyone is itself evidence that it wasn’t addressing the exceptions, but was instead addressing the obvious.