I will qualify your statement to say that I agree, based on the changing rules in force during our history.
The AGE of the parents, and their residence in the years prior to the birth, and years of residence here, does make a difference and the laws have changed several times.
Natural Born Citizen means Citizen at the Moment of Birth.
The laws for NBC on foreign soil can and have been changed, by Congress, several times.
Really!
So if they were to pass a resolve that "the people" shall be represented by housecats in Congress, then that would be the law of the land?
Or perhaps directing that the Sun should rise in the West?