As I hope you know, presidential candidates who were confirmed to be eligible were born outside the US:
George Romney (Mexico)
John McCain (Panama)
They were elected?
McCain I can almost see, but even then, I don’t think Congress gets to redefine original-intent definitions of the framers of the Constitution. Romney would have needed a CRBA, but probably was not a NBC.
Everyone knew what it meant, right up until the cultural revolution of the 60s when the Communists took over. Today’s naturalization training material still defines NBC as “born domestically to American citizens”.