(Emphases mine) De Vattel INFLUENCED FRAMERS VIEWS on SOVEREIGNTY (as you state)
It would seem SOVEREIGNTY and CITIZENSHIP are intertwined.
A State could hardly divorce the question of who shall be, or NOT be, a citizen(or a Natural born Citizen)from considerations of SOVEREIGNTY, in relation to it's integrity -- as a STATE.
Therefore, it would seem reasonable (from your statement)that Vattel DID also influence the framers in regards to who is and who is NOT a citizen.
"I say,that in order be be of the country, it is NECESSARY that a person be born of a FATHER who is a CITIZEN, for if he is born there of a STRANGER, it will be ONLY the PLACE of his birth, and NOT HIS COUNTRY." (Vattel)
Haven't we been here before?
STE=Q