In fact, everyone in your organization should learn how to mistake-proof their own jobs and the procedures used to perform those jobs.
It's sensible to prevent mistakes and other problems that occur every day. Mistakes and problems that reduce productivity and efficiency cost your company money.
Since the mistake-proofing process is easy to learn and apply, why not get everyone involved in improving your business? Think of the potential improvements if everyone in your organization is making sure that mistakes and other problems are minimized or eliminated altogether.