They did not define the term natural born and for that matter did not define the word Citizen.
They obviously didn’t include black people as eligible for either, but they didn’t say it, did they?
When the courts rule that being born a citizen means for all intents and purposes “Natural Born Citizen” will you be satisfied or pissed off?
What you propose is that one provision of the Constitution modify another provision.
Such a construction is impermissible.