The Supreme Court said the difference between NBS & NBC is terminology based on form of government. That is it. They then use the meaning of NBS to make WKA a NBC, and thus a citizen. THAT is what the first half of the WKA decision is about.
The other decision was one I read in passing after Ann Coulter mentioned it, but I didn’t bookmark it and I don’t have time today to search for it. It wouldn’t be binding regardless, since it was a footnote. It had to do with anchor babies, if that helps.
You’re still misrepresenting WKA. It did not use the meaning of NBS to make WKA an NBC. It used the meaning of NBS to justify calling WKA a citizen of the United States. Nothing in there says WKA is a natural born citizen. Read it. All of it. Learn it. Understand it ... correctly.
In short, Wong Kim Ark is a 14th Amendment matter, while Obama's eligibility in an Article II matter.