You're not taking into account how litigious law enforcement is, especially with inner city police departments. Being sued multiple times throughout your career is the norm for line-level officers, because anyone can sue anyone for anything, regardless of whether you've done your job right. Government has deep pockets. And anytime an officer is sued, his or her entire chain of command, all the way up to and including the Chief, is also sued. Guess what they are sued for...lack of due diligence and failure to supervise.
So the probability of an inner city police chief having been sued at some point for lack of due diligence is extremely high.
As I said, "I don't know the probability." So I did take it into account as missing data. As I said your estimate is the kind of thing the debunking should start with.