That said, I once had a very rare accident in which I would have been better off without a helmet. It was at a spot on a sidewalk/trail where a telephone pole guy wire infringed on the right side. I was used to dodging it but once got distracted dodging glass on the sidewalk. The guy wire snagged my right shoulder and helmet, jerking me backwards and slamming me to the ground. I remember briefly looking up at my bicycle. It shattered the helmet and cut my shoulder. Very embarrassing.
As I said, this was a very unusual occurrence. I still wear a helmet whenever I'm on a bike.