The nature of the case is not pertinent. What is pertinent is the discussion about NBC. They specifically had an exchange about the requirements for Presidency.
Justice Scalia has indicated now in TWO separate instances that he leans toward a requirement of born on US soil.
That doesn’t mean that is how he would rule.
I think Scalia may place some significance to the 1790 immigration act as passed by Congress that define Natural Born Citizen as not necessarily "Jus Soli".