I am talking about perceived risk of cycling as a hyperbole vs actual risks that don't get mentioned. I'm pretty sure more people get killed by cars mounting the sidewalk.
But here's the rub - people don't want to put up with even a 1-in-1000 chance of getting a broken arm just from walking on the sidewalk, and they don't want to constantly be on guard against bikes zipping all over the place on what should be a relaxing walk.
It's annoying, and that's why we have things like noise ordnances even though no one ever like, dies because the neighbors are too loud.