[bvw]

You didn’t have to look again, nor is it likely that you did. The phrase ‘natural born citizen’ is a special phrase in that section of the Constitution, and must be interpreted as a special more exclusionary requirement than simple citizenship.

As you read it, as I understand, it loses all special meaning.

[EnderWiggins]

"The phrase ‘natural born citizen’ is a special phrase in that section of the Constitution, "

No it's not.

It is a well known and well used term of English common law that goes back more than 300 years prior to the Constitution. And its meaning was always well know. Especially to the lawyers of the federal Convention (over half of the delegates).

"and must be interpreted as a special more exclusionary requirement than simple citizenship."

And it is. It excludes naturalized citizens.