The instinct is that a damaged part is a poor reference. In practice, wear is confined to the working surfaces, and the rest of the part is untouched. Mounting faces, threads, shoulders and overall proportions usually survive intact, and those are what establish the part's relationship to everything around it.
Wear patterns carry their own information. An unevenly worn bore says something about alignment; a fretted mounting face says something about clamping. That is worth capturing before the part is cleaned up.