I think you misunderstood the scenario.

I said that they, ALL of the police (Commissioner on down, hell, throw in federal leo's too) take a planned, scheduled, fully announced week off.

Couldn't get new hires to fill that vacancy (besides there is no vacancy, it's just a week off) fast enough. Especially any with any knowledge of what is happening in the neighborhood, who the resident trouble makers are, etc. Any "JoeBob" that would step up wouldn't have any training.

Fill all those places in a week? You couldn't even get interviews... who'd conduct the interviews?

Individuals can be replaced without disrupting anything. Try to replace an entire industry.

"Our Constitution was made only for a moral and religious people. It is wholly inadequate to the government of any other." - John Adams

Turdlike, by default.