Yup you are right. It makes no difference to the average US Citizen. And Nikki Haley will never be President anyway. So, you might want to save everybody headaches and lay off this until it matters. It’s not going to anytime soon. Haley left for a reason, and it was going to wreck her career.
It will never matter. All the ridiculous ill-thought-out court decisions during the Obama administration have made it virtually impossible to get anyone to look at the original meaning of the term. It's now pretty much accepted by the court system that anyone born a citizen will be regarded as a "natural born citizen", and even if they aren't, the courts have ruled that State officials have no obligation to keep them off the ballot.