The 14th amendment unquestionably created a third, loophole citizenship category without any allegiance that SCOTUS later named Native Born.
It has not been decided if children of illegal aliens and born in the USA are in fact US citizens, it has been interpreted that way but not decided by the USSC.
You are misreading what I posted.
I was not in any way addressing the children born to illegals. Those cannot possibly be citizens, since they are a part of an invading force, and cannot be said to be here under US jurisdiction.
It has only been interpreted as such since (incorrectly) the 1980s, and only as an administrative ruling, never as a court case or as legislation.
Anchor babies are not US citizens. It would be like me giving you a vehicle owned by some third party. Saying it is yours does not make it so. Saying it was mine to give does not make it so.