This is directly refuted by Singapore, Japan, arguably the UK, and others. Singapore is very interesting to visit. Externally there's somewhat of a narrative of a harsh police state but when I visited I almost never saw a single police officer and they don't have particularly many police officers on a per capita basis (170/100k vs 440/100k in NYC). Most of the policing naturally happens by aid of the surveillance system and a very strong effort to take action to bring justice for any crime. As a result, everyone believes crime will be punished and so you end up with a very safe society. This expectation of crime being taken seriously actually _creates_ trust because you can have high faith that any criminal action someone may take will have consequences and therefore be deterred.