This is quite dangerous, because it creates bias against people whose CV is not a traditional CV, but more like a portfolio, with works that uniquely identify the author. My own CV would be way too gray if one excludes my contributions to various open-source projects and articles that I have written - all of which would be identifying.
Another class of extreme examples would be public political figures. There is only one person who has successfully implemented a city-wide smoking ban. There is only one person who was a minister of finance, and then worked on in-game economics.
Easier said than done, but you are welcome to try fuzzing my CV. As I mentioned, this would likely erase half of the CV. https://u.pcloud.link/publink/show?code=wT8otalK (outdated for legal reasons - the current employer does not permit mentioning them, due to social engineering concerns, while I still work for them)
Another class of extreme examples would be public political figures. There is only one person who has successfully implemented a city-wide smoking ban. There is only one person who was a minister of finance, and then worked on in-game economics.