No it isn't. It is backward's logic. You are attempting to define something by what it isn't.
Your argument is "That because something is not this, it must therefore be that."
No. Just because a cow is not a chicken, that does not mean a squirrel must be a chicken.
OK so let's take this one step at a time and see if we can unravel your twisted logic. Who does not need to be naturalized in order to become a citizen?