Look, if you're not even willing to understand the argument, your refutation of it is toothless at best, worthless at worst.
Not to mention, your own claim is vague and without evidence. In point of fact, there's plenty of evidence to the counter. There are ample studies to choose from, but from just this year: https://www.cbc.ca/news/canada/hamilton/police-budget-crime-...
As for your link: the claim made by the “study” is false since it is ignoring virtually every obvious confounding factor to claim that the number of police officers doesn’t affect crime rates. Per capita police count is a measure of how effectively a city can respond to crime. If they can’t respond that means there aren’t consequences. When there aren’t consequences you end up with the disaster of public safety you see in west coast cities like SF, Portland, and Seattle.
https://www.usatoday.com/story/news/investigations/2020/06/1...