i agree it's overestimated, and it's not "as bad" as many believe it to be. but it is worse.
i get the lightbulb stolen from my garage light every month. that sort of petty crime is non-existent when you live in a nice suburb. but it's only a lightbulb, not that hard to replace.
am i worried me or my family will get shot? no, my neighbors are actually all very nice. but the family pizza place on the commercial strip a block over has a shooting once every year or so. in the integration of everything, it's somewhat of a non-issue, but it i real, and again, something that never happens for many decades if you're out in the burbs.
there's a real stark difference between the two. how a place feels in your gut, is different from what the numbers show, and it's not always clear what's real and what's not.
The "yearly pizza shooting" is as absurd to some people as "the town rapist" would be to others.
There doesn't seem to be anything mandatory about cities having proportionally more crime.