Considering the abysmal clearance rates while violent crime rates have gone down, it is clear these cats are not good at catching mice. There is some other factor at work.
Edit: It's not a rhetorical question. If you disagree please tell me where the problem is. I don't agree with the policy decisions in question, but I respect democracy so I live with being in the minority whose policy preferences aren't enacted. That is how the system is meant to work, right?
Pulling away from the analogy, the argument seems to be "There is a lot of hints that high-level crime still persists, and yet cops aren't spending much time fixing it, so their job must not be fighting high-level crime".
If you want to argue that cops are good at their job regardless of how they spend their time, then do that, but your analogy by itself isn't very convincing of anything.