Maybe it just changes the kinds of crimes committed and/or the reporting of those crimes. I came from a small town about 30 min from the nearest station. Police would maybe drive through for a couple hours every weekend or two, or when there was an actual call for them. There was a lot of drunk driving, stunting, petty vandalism and similar crime because for the most part people knew there wasn’t police around. You ado got occasional situations like someone from another area coming to the town and breaking into many sheds, or a business because they know the police response time is going to be so long there’s little risk of getting caught.

On the other hand, it was also the kind of place where people would mostly leave doors unlocked, leave things outside in an in-fenced yard, and similar things because those kinds of crime tend not to happen. In an urban setting it’s the kind of crime that people would commit in a neighbourhood distant from their own, but in a small town it’s all essentially the same neighbourhood, so it looks pretty suspicious if your new BBQ shows up the day after someone else’s gets stolen.