The police, or let's say, the government, or maybe just the populace in general, do have a duty to catch criminals and not just let them rampage about the neighborhood. Doing something about the guy after cornering him in a house is not an elective procedure.

Now maybe there's an argument to be made that the officers risking their lives to arrest the guy should have risked their lives differently, in consideration of the homeowner's finances. I haven't ever tracked down a suspect, gotten shot at, or planned a home invasion against a prepared defender, so I'm not equipped to have that argument.

You might consider an analogous situation. What if a toddler crawls into somebody's unlocked car during a heat wave, gets locked inside, and the police break into the car to rescue the toddler? Who's responsible for paying for the damage to the car? It's neither the police nor the car owner. The toddler's parents are responsible. It's the same as the situation where a gunman holes up in a house. The only basis for requiring the police to pay for breaking the window is some sort of fuck-the-police mentality, which people are applying to the situation where they tracked down an armed suspect.