That one was debunked many years ago, during the Obama birther wars. It was, I believe, the first of the many efforts to convince people of the Birther dogma. Most people first heard of Vattel on this blog. Most of this is nonsense
I evidently went to school way before your time. In 8th grade civics class we were taught that The eligibility requirement for President was birth in the US to Citizen parents.
Common Core has failed again on your case!
“That one was debunked many years ago”
So, were those cases misquoted?