No doubt you are aware, if establishing eligibility for holding the office of President of the U.S.A. is the basis of the little fable you have posited, that it is also required that both parents of a prospective candidate for said office be citizens of the U.S.A. at the time of his/her birth, no matter where birth occurred.
I agree. That is the basis for pushing jus soli to it's ridiculous conclusions.