Where do you get the idea that it is a notion that parents must be born here? No such limited notion is proposed by persons holding to the Constitution. The crux of eligibility for POTUSA is that parents have to be Citizens of the USA. The Founding Fathers realized there had to be some element of dedicated/established loyalty to the USA by the parents. This is not a silly requirement even though it it is not a guarantee against someone like Axelrod becoming eligible. Nonsense you say? I have a different value for the Constitutional history.
You seemed to have omitted the quote from the Constitution...
“The crux of eligibility for POTUSA is that parents have to be Citizens of the USA.”