No, Madison doesn’t discount parentage. Parents can pass citizenship to their children.
But he is quote clear that place of birth is the more important criteria. That’s all that is required.
That’s all that’s required? ... Sorry, you’ve made a logical fallacy. You cannot actually leap that far based upon the launching point you’ve chosen. Madison was not addressing the Constitutional clause, nor was he seeking to make a definitive statement regarding a final definition for Natural Born Citizen as differentiated from citizen as used for qualification of legislators. It is more instructive to look at what Bingham had to say during debate over the wording for the fourteenth amendment, if seeking the founders’ unserstanding of the Constitutional differentiation between qualification for legislator or president.
Madison said it was the “most certain,” not the more important. It’s probably because the allegiance of the parents may be more difficult to determine than the place of birth. Madison still recognized birthrights through parents.