There is no legal statute conferring natural born citizenship. There was a short-lived Act from 1790 to 1795 that attempted to confer that status upon children born abroad to citizen parents provided that the father met certain requirements. Beyond that, nothing. It's a requirement for the Presidency under the Constitution. Under statutory law, no such distinction is made.
So, by your reasoning anyone can serve as POTUS, because, according to you “natural born citizen” is nowhere defined in law.