I'm not squeamish about the idea of catching a fish, but the hooks scare me. It might be strange but I don't like being on a beach where there is a row of people casting lines with hooks out and I would go out of my way to avoid them. It amazes me that there aren't more accidents than there seem to be.
But catching blue claws with crab traps is another story. I love doing that and plopping them in a pot of boiling water doesn't bother me a bit.
There isnt many accidents because its quite hard to get seriously hurt, the lines arent usually that heavily unless sea fishing and the hooks dont usually penetrate that deep so a light hook that doesnt really do much damage anyway isnt going to easily get too deep into the skin unless it got really yanked straight into your flesh, most of my experiences haven't even been deep enough to draw blood...
Unless it was a freak accident of course and got someone's eye, or a heavy sea fishing rig with bigger weights and bigger hooks...
I've had a few accidents in my time. A few hooks to the leg that needed the emergency room and a crankbait to the back of the head, my buddy pulled it out with pliers.