Except that it's not comical. I've lived in both, and I've experienced way more crime in my life in the country than in the city. In the country, we didn't report neighbor disputes because we didn't want them to murder us in our sleep, because we ratted them out to the police. We have a neighbor kill one of our dogs (by feeding it antifreeze), we had them threaten us with guns on our own property (which, obviously is why we were worried they'd kill us in our sleep). We had property stolen numerous times. There were always trespassers in our woods. There was a hit and run on the street in front of us (we did actually report that). We had constant problems with meth heads. This wasn't in some crazy backwoods filled with trailer parks. It was relatively affluent (for the country).
My brother lives in a small town, and kids in his neighborhood shot their kids with BB guns. They have issues with neighbors leaving their dogs off leash and attacking their dogs. They've had people from the neighborhood try to run them off the road. None of these things get reported to the police, because the police won't do anything, and you'll start a crazy feud with the neighbors. You don't hear about family feuds in the city, but they're a constant in small towns and can last generations.
I've lived in New Orleans, NYC, SF, and Tokyo, and other than New Orleans, I'd say every place has felt safer than when I lived in small towns or the country when I was growing up.