Punches to the face are better than holes in the chest. If I had to pick from "will get punched in the face with 90% certainty" or "will get a hole in the chest with 0.01% certainty", I'd pick the first one. Heck, I'd punch myself in the face once for good measure, too.
I would as well, but I think my example shows that public tolerance of police behavior varies among countries. German would be horrified with US cops shooting random civilians and Americans are horrified by German police beating suspects for relatively minor infractions.