“Moreover, the Supreme Court has consistently held that the distinction between natural born citizens and naturalized citizens in the context of Presidential eligibility remains valid.”
I don't recall any such SCOTUS holding “in the context of Presidential eligibility,” rather only holdings relating to NBC issues concerning persons who were not presidential candidates, such as Mrs. Minor, or Elk and Elg.
Even though Minor dealt with women suffrage the Supreme Court directly construed the Constitutional Natural Born Citizen clause to find Ms. Minor a natural born citizen, which is the same eligible criteria used, as you know, for would be citizens who run to be president.