I seriously doubt this. There are numerous activities -- smoking, eating delicious food, having risky sex, crossing the street -- that people routinely do despite the incremental risk of mortality. I've read that when you divide the extra money by the increased death risk (e.g. a $10K lump sum payment for a 1% chance of dying, as you'd get if, for example, you switch to higher-risk duties in a mining or lumber job), the average person values his own life at between $1 million and $10 million.

If you do spend all of your time on maximizing your probability of survival -- making money for medical care, reading medical journals in your free time, not doing anything that's really fun and slightly fatal -- I'd believe you. Otherwise, you suffer from cognitive dissonance.