No, police looking for a crime when there is none is not something to celebrate.
Your second point is spot on, though.
Your second point is spot on, though.
https://www.latimes.com/archives/la-xpm-2007-nov-09-fg-autop...
https://www.tokyoreview.net/2017/08/myth-japans-bored-police...
(Sure, there's also the perfect case, no crime, and the police sitting idly, but in the real world we rarely have the "perfect" case, and "no crime/police fishing for people stealing a beer case left as a thief trap" is close enough to perfect).