In most of Europe police carry guns,yet lethal encounters with members of public are rare( not saying they don't happen at all though). It's not just guns but the attitude of policemen. In Britain,police tend to talk to you for how long it takes until you come back to senses.If that doesn't help they do handle you.If they think you have guns, they'd send those who know how and will shoot if necessary. A stressed and confused guy in a hospital setting with no gun/knife is a low risk and should be talked to for beginners. They somewhat overreact there quite often.