“Under citizen one can either be naturalized or born on US soil to one citizen parent and one non-citizen parent and still be a citizen, but not natural born citizen.”\
So what you’re saying is there are really three categories of citizenship: natural born, born but not natural, and naturalized. Sorry to break it to you, but the middle one doesn’t exist. You are either natural or naturalized.
What is it about this comment that you do not understand? There are two kinds of citizens.
1. Naturalized or born on US soil to one citizen parent and one non-citizen parent = citizen.
2. Born on US soil to two citizen parents = natural born citizen.
There is a distinction between citizen and natural born citizen.