To be fair I should point out that my crash history went something like this:
Pre-racing years: 2 crashes when I started training seriously, one on a group ride. This doesn't count all the tumbles while learning how to ride, as a really young kid, etc.
Seasons 1-5 of racing: crash every year in training, all solo
Seasons 6-10 of racing: crash every year in racing
Seasons 11-19: no crashes in either
Season 20: crash in a race (mechanical, first time I crashed due to a mechanical)
Seasons 21-26: no crashes in either

Note: during seasons 11-24 I had a total of 5 cars turn into me (1 turned left across my path, the other 4 turned right just as they were next to me). I didn't fall but I could have. For example the one that turned left across my path hit my rear wheel. I lifted it just before impact (I was going maybe 8-10 mph) and the car spun me 180 degrees. I didn't fall but if I hadn't lifted the wheel I probably wouldn't have stayed upright. And no, I can't replicate the feat. Ironically the car was turning into an insurance agency parking lot. I've gotten my left arm hooked under three mirrors and almost went sprawling over someone right fender/hood. In those situations I was fortunate enough to be able to stay upright.

Season 27: crash in a race (first broken bone in my life, first time someone intentionally caused a crash where I was part of it)
Season 28: crash in training (group ride, I made an error)
Seasons 29 - Oct 24 of Season 31: no crashes in either

I've done "training" rides on my race wheels to test them out, see how they ride, etc. I just wouldn't want to ride them all the time due to the cost of tubulars. I know I flat less frequently on tubulars but they're costly no matter how infrequent I flat them. I will say that training outside is a bit more dangerous than it used to be - it's not about wheels, it's about safety.