Both of these were laws. Natural born citizen is not defined in the Constitution. The first version assigned a meaning to a persons status based upon a set of circumstances. The second version, which repealed the first version, changed the meaning using those same circumstances. The first meaning no longer applies.
Neither law is still in effect. There have been many amendments over the years which have changed exactly what needs to happen for a child born outside the U.S. to have citizenship at birth. However, the fact that the first congress, which included many of the drafters of the constitution, said that children born outside the United States could be natural born citizens completely blows your argument out of the water. Also, there never redefined natural born citizen in the later act - they simply changed the term to citizen. The only time “natural born citizen” has been defined in U.S. law it included the children of citizens born outside the United States. I repeat, case closed.