I was a working student for quite some time and got to ride some real wing nuts. The six horses I got to ride daily were usually the ones coming in with severe behavioral issues. Rearers, buckers, wall slammers, let's take off at full speed and slam on the breakers... I really came to realize while I could ride it out, it can be down right stupid to get on horses like that. Was I afraid? On some of them yes I was.
Some horses you will need to ride out but if you don't have to why would you put yourself at that risk? There are so many things that can be taught on the ground that you don't need to get on and teach them. I don't like getting on and going to battle. I'd rather take a bit more time and do it right then foolishly get on and get hurt.
I am lucky though. No broken bones in my adventures. I started riding with knee pads though because I got slammed into a wall, skinned my knee but my breeches were still intact, and continued to ride. My knee fused to my pants and I had to go into the bathroom after and rip it off. Yeeeouch.