How will that deter someone wanting to break into your house or trying to rob you?

Do you turn around before they attack you and go "hey, good news, the city allocated some more funds to public services, no need to stab me" and the perp goes "ah shieet, thanks for the good news bro, let's hug and sing kumbaya"?

No matter how much money you throw at public services, criminals will still exist because bad people exist regardless of public services, otherwise you wouldn't need any law enforcement to exist if that was the solution.

And money for social services isn't infinite, you can't buy your way out of crime, if you live in a poor low income are that lacks money. What then? SHould they tolerate lawlessness and rampant crime without strong law enforcement?

And crime and lack of funds are often self reinforcing in a negative feedback loop. Nobody will come and open jobs and businesses in your area to pay the taxes your welfare system needs, if there's high crime without law enforcement and surveillance systems to catch or deter criminals that rob businesses.