I agree that I am not concerned about property crimes while bicycling. My bike and all its attached gear is only worth a little bit over $ 1000; it is not some superduper titanium model worth its weight in gold. My concern is the people who think it funny to harass, assault or try to murder my person, just because they think they can get away with it on a deserted road.
And the funny thing is, I have never had a problem at all on trail rides. Generally, the only other people I meet are other hikers or bicyclists, and I have never been harassed by one of them. It is only on the roads, and usually the more rural or deserted roads, that I have encountered problems, all from drivers or passengers in cars. I am sure there is some interesting sociological comment, there.