U.S. Const. art. II, § 1, cl 5.Obviously there is a difference between citizen and natural born citizen or Article II would not be written as it is.No person except a natural born citizen, or a citizen of the United States, at the time of the adoption of this Constitution, shall be eligible to the office of President; neither shall any person be eligible to that office who shall not have attained to the age of thirty-five years, and been fourteen Years a resident within the United States.
The Const. also does not provide a definition of “NBC” and leaves it to Congress to set laws regarding citizenship. There are ZERO laws in the United States Code or Code of Federal Regulations that differentiate between a “NBC” and a person who acquires citizenship by birth.
Although there is no SCOTUS case directly on point, the likelihood that the court would draw such a distinction after 200+ years is about zero as well.