Yeah it does. It's the case that said that with few, specific exceptions a person born in the U.S. is a citizen at birth - AKA natural-born citizen - regardless of the nationality of their parents. And regardless of whether they're running for president or not.
The case had nothing to do with the eligibility clause of the Constitution. You want to apply it there to suit your wishes but it does not. 14th Amendment style citizenship (anchor-baby) has no bearing on the Constitutional requirement for president. Show me one place in this ruling that it says it was redefining the eligibility clause. You can’t because it does not exist.