They ruled Ark was a citizen by birth. They also said that there were two kinds of citizens - citizen by birth and naturalized. There are not three categories of citizenship, no matter what you would like to believe. Citizen by birth and natural born citizen are one and the same.
“Citizen by birth and natural born citizen are one and the same. “
You can’t reasonably infer that from Wong Kim Ark, not least of which is because they discussed natural born citizen at length, and deliberately decided not to rule on the presidential qualifications. Wong Kim Ark cannot erase the words “natural born citizen” from the Constitution.