That might be something very difficult to rationalize away. Being an active cyclist is to be cognizant of the risks and minimize those risks (i.e. ride assertively on safe streets, use lights, etc.), while also utilizing a little cognitive dissonance.
I ride between 5,000-10,000 miles a year. I've had several crashes due to my own fault or other cyclists' faults in races. I've also been hit once and suffered a very minor broken wrist that healed in three weeks. I am pretty lucky.
Some of my friends have been in crashes with cars and they are all fine. It was scary at the moment and they got hurt, with some injuries such as a broken collarbones, but they're all still riding and healthy today.
Of course, they all LOVE riding bikes. If you don't love to ride bikes, it's tough to "get on that horse after it bucks you off," so to speak.