Of course it does. But politicians who ramp up the rhetoric and threaten to have people killed does not. Flint and Camden and other cities where the police sat down or walked with the protestors have no issues. People connecting to people with understanding rarely results in violence. I think places where the police still walk a beat (or other regular outreach over a wide area) and get to know the locals rarely have…
I think you may be underestimating how much cities dedicate their budgets to police spending:
"Mayor Eric Garcetti's 2020-2021 city budget gives police $3.14 billion out of the city's $10.5 billion. That's the single biggest line item, dwarfing, say, emergency management ($6 million) and economic development ($30 million)." (In fact, LAPD is getting pay raises while LA teachers are getting a pay decrease)
"New York City spends more on policing than it does on the Departments of Health, Homeless Services, Housing Preservation and Development, and Youth and Community Development combined."
"A whopping 39 percent of Chicago's 2017 budget went to police, and still the department got even more money, peaking in 2020 with a 7 percent increase to nearly $1.8 billion."
Note, this is, to the best of my knowledge, solely police, not even adjacent forces like e.g. fire departments or ambulances.