I can't see any reason why a denomination wouldn't want to do this for its ministers, or why any upstanding minister should object. Typically I reject the what's the problem if you don't have anything to hide? argument -- but in this case, I think it's advantageous for the ministers as well. They can boast that their denomination checks them regularly, and hopefully can boast that they do the same for their elders, staff, and lay leaders. It is also a means of accountability, which is always good for everyone, including the person being held accountable.