I have a georeferenced CAD file that I imported into ArcGIS Pro v2.4. I had initially imported the CAD file into a map with coordinate system NAD 1983 StatePlane New Mexico West FIPS 3003 Feet. I later learned the coordinate system the CAD file should actually be in was NAD 1927 StatePlane New Mexico West FIPS 3003. In both cases, I converted the CAD file using the Feature Class to Feature Class tool, selecting the appropriate coordinate system. The result was two feature classes that were exactly on top of each other. I expected to have the feature classes be slightly different from one another.
Can someone explain what is going on here? I've attached a portion of the CAD file and the feature classes.