You are leaving out the residency requirements. For example, a child born outside the USA (such as in the former Canal Zone) to a US citizen mother is not a citizen unless the mother resided in the USA for a certain amount of time prior to the birth. There are different requirements depending upon whether citizenship is derived from the mother, the father or both parents. Over time, as a territory is no longer part of the USA, the chances are high that even US citizen parents will not meet these requirements such that their children will not be citizens.
For example, a child born outside the USA (such as in the former Canal Zone) to a US citizen mother is not a citizen unless the mother resided in the USA for a certain amount of time prior to the birth. There are different requirements depending upon whether citizenship is derived from the mother, the father or both parents. Over time, as a territory is no longer part of the USA, the chances are high that even US citizen parents will not meet these requirements such that their children will not be citizens.
Which sounds vaguely reassuring, but then, in the next post you linked the actual page from the USCIS which shows clearly that:
Think about the 1 million Chinese anchor babies whose moms came on the "have baby in USA and get him citizenship" travel plan. All their kids will be US Citizens.