^ I agree with all of that.
I don't have data, but I very strongly suspect that a solid majoity of CPD officers do not live in community areas that they regularly patrol.
The main point of the residency requirement is to keep city tax dollars
in the city, with the added knock-on effect of that being neighborhood stabilization in areas where city workers tend to congregate.
As an aside, Midway is not on chicago's western border because of the annexation of the Garfield Ridge and Clearing community areas that jut out a couple miles west of midway, all the way out to Harlem.
Source: wikipedia