Has it occurred to you that cause and effect are non-obvious?
AIUI part of the reason most UK police does not carry a gun is precisely a policy of de-escalation — if the police doesn’t carry a gun, criminals don’t feel the need to match their firepower. Inversely, the fact that American law inforcement treats their beat like a warzone probably contributes to an escalation of violence on the other side too.
Same concept different application: escaping prison isn’t a crime in Germany. You will still be chased by law enforcement to serve the rest of your sentence but the act of running away isn’t a crime unto itself. This means an escapee is likely to avoid committing further crimes on their way out to avoid worsening their sentence, while an American escapee, facing a large penalty for escape itself, is likelier to take an in for a penny, in for a pound approach.