You most certainly did dismiss out of hand the Law of Nations and Vattel when you stated “There are other antiquated notions, etc, etc,” Show some respect for the work of a brilliant Swiss expert on Law which was the absolute reference for our Constitution. It is neither “antiquated,” nor a “notion.”
The requirement that the president command in chief be natural born is a dictum which cannot be changed without an Article 5 Constitutional Convention and resulting referendum of the states. That’s just the way it is. Ignore it at your peril. Realize what it got us the last time it was ignored.
Unless otherwise stipulated, U.S. laws were more directly founded upon English common law rather than, as you previously asserted, having been founded upon Vattel's views, definitions and discussion of English common law among laws of other nations also.
Yet if we are to be held figuratively captive by Vattel (and to some extent I think that we should) then I ask you now, rather than to aim lecture towards me, try reading what else I said to another here in reply to that individual having posted a jpg image of portion of legal argumentation which was allegedly Vattel's own words.
See reply number; #582 that was in response to #566 wherein what is alleged to be from Vattel is in view.
Soak it all up -- and where would that leave us but that Senator Cruz is a citizen by birth -- unless you would prefer it that suffrage laws (in regards to women having equal citizenship rights, fairly well all across the board) be rolled back.
You sure you want to go there?