But, of course, it's just another argument to pitch to the voters and their electors. Perhaps the more they hear and consider, the better will be their choices. ;-)
Your argument above is an example of confirmation bias. You regard the salient aspect of birth to be PLACE of birth, while the argument my side has been making has been Inheritance from Citizen Parents. Was Richard Nixon's Parents American Citizens? Yes. Then the essential condition is met. He was able to inherit his national character from his parents.
Similarly, maybe the term "citizen" in "natural born citizen" was intended to be flexible enough to include new circumstances under which someone can be born a citizen of the United States that might be added in the future.
What is "natural" is not flexible. Natural characteristics must be inherited. Anything else is adoption.