Most accidents don't occur simply because one party made a stupid error of judgement - it usually occurs when a number of highly unlikely factors coincide perfectly. I'm sure all of us have had a near-miss at some point in time, not just in biking but in Life.
There was a recent accident in Singapore where this taxi-driver hit a young girl of about 10 at 30mph dashing across the road. Without a video, it's easy to demonize the taxi driver for not slowing down, but the video clearly showed her being hidden by a road divider (with holes but from that angle was virtually impossible to spot) until she dashed out in front of him a few feet away. It was a chain of unfortunate coincidences that might have happened sooner or later.
Watch any episode of "Air Crash Investigation" and you'll see several mini-mistakes and unlucky timing coincide to create a fiery explosion.
Is it possible to run traffic lights your whole life and be perfectly untouched? Sure. Would anyone get the idea that they're 'too good' to be hit after a month of surviving such practices? Yes. That's why we'll continue to see reckless drivers and cyclists, because of such a mentality.