The constitution mentions exactly three types of people, aliens, citizens, and natural born citizens. Aliens are those who are not citizens. It says some offices must be filled by “citizens”. That can include immigrants who became naturalized. It also says the President must be NBC.
The terms were not defined.
But despite all the breathless pronouncments, if you gained your citizenship by birth alone, you are NBC. There is no 3rd status of citizenry that is gained without naturalization, but which excludes you from the presidency.
All the talk of two parents, being whelped within the borders, the mother needing to be 18, etc etc, is all malarky.
If it doesn't require the existence of a Congressional law which naturalizes you at birth, then you are correct. If your "birth" citizenship requires a law to make you a citizen, then you are not a "natural" citizen.