I happen to agree with that but it does not change the fact that "the law" says they are citizens by birth and thus if a citizen by birth is the same as a natural born citizen then whether you like it or not, under your definition of an NBC that Chinese kid is an NBC and eligible to serve as POTUS.
No, the LAW does not state that, but some court rulings have (rulings that have NOT been affirmed by SCOTUS). Hence, my previous comment that it is not the law but the misapplication of the law that has created the confusion (and all the problems).