Just to clear something up - you believe that a naturalized citizen is not a real citizen just a pretend citizen. Is that right?
In this question, you are attempting to substitute *YOUR PREMISE*, that there is no difference between a natural born citizen and a 14th amendment or naturalized citizen, for my premise, which is that the meaning of "natural born citizen" descends from Vattel's writings on natural law, which specifies the difference.
One of the things I tell people all the time is "never accept the false premise of your opponents."
A naturalized citizen is not a "pretend citizen", but they are also not a "natural citizen."
They are naturalized. It's in the name. Don't see how you can have trouble understanding the difference.