The probability of being killed in such a way would be tiny and wouldn't significantly alter expected lifespan. However people are bad at intuitive risk evaluation and even if any person would at least twice more likely have their life saved than destroyed because of the policy, people would feel endangered and unhappy, which fact may overweigh the positive benefit. But if this concern didn't apply (e.g. if most people learned to evaluate risks correctly on the intuitive level), I'd bite the bullet and vote for the policy.

By the way, upvoted for correct application of least convenient possible world technique.