also if it's a loan lunatic serial killer type then he needs to be caught quick sharp, there's a public safety angle of course. but i get what you're saying too.
i actually would want the police to get double the funding/staff they have, in general - very few people i know would say they want less not more police on the streets. my kids live in a crime ridden area, i wish there was more police presence. probably an unpopular view here.
I disagree that the police should have their funding doubled.
What should happen is that other services should be properly funded.
Police expend a lot of resources on eg dealing with mentally ill people. Mental health services should be better funded. There should be more beds for those who are seriously ill and in need of treatment, and also more clinicians hired to provide outpatient services, because 'care in the community' was just a slogan, rather than a reality, it was just an excuse to cut hospital beds, close hospitals, etc.
It was/is a false economy when you end up with cops turning up to deal with people who are experiencing mental health crises, which they're not really properly trained or equipped to deal with, and also dealing with attempted suicides and suicides.
There's also a big shortage of beds in detox/rehab units. Lots of people with substance mis-use/addictions want to get clean, but can't because the services are underfunded, there are too few beds to meet demand, it takes too long to access those services.
If it was easier and quicker to get treatment and support, demand for police resources to deal with public order offences, assaults, thefts, dealing and antisocial behaviour, etc, would be reduced.
Other services that need more money are social services and youth services. It would be better to spend money on interventions and preventative measures, rather than cops and youth offender institutions/prison places.
Those bright sparks in government reduce funding for local authorities, which in turn close youth clubs, and then you have lots of restless and bored youth getting up to no good.
Nowadays, we're getting more like the US, some schools here in the UK even have their own police officer and children are increasingly being criminalised for a bit of naughtiness - all the better to feed the prison-industrial complex.
In many instances, the demand for police results from a failure to invest and spend elsewhere.
You can continue to spend and spend on increasing police budgets, and no doubt many would support that, but it's not actually an effective use of resources.
When people campaign for, argue to 'Defund the police' many others misunderstand and think it's about letting chaos reign supreme, not fighting crime, etc. But it's about reallocation of resources, spending money on prevention, rather than cure, which isn't actually a cure, it's shutting the stable door after the horse has already bolted.
To extend that analogy, instead of increasing resources to chase horses that have bolted, maybe prevent them from bolting in the first place, spend money on keeping horses well fed, well looked after by vets when necessary, make sure the stable's in a good state of repair, etc.