The genesis of the Fourteenth Amenedment was to deny citizenship to any circumventing said jurisdiction, as the Confederate states had done. As illegal aliens have all done. Seems pretty cut and dry to me, especially considering SCOTUS previously ruled American Indians were not under the jurisdiction of The United States after the Fourteenth was ratified, requiring Congress to enact a law granting them citizenship.
DACA is another example, The Obama Administration could not get legislation passed to grant citizenship to those individuals, so drafted an Executive Order to not enforce the law (as he had previously sworn an Oath to do, I might add). And now many of those individuals are facing deportation.