In Gloucester, which is a relatively active port, there is no fire boat. There is no patrol boat. The harbor master has a boat, but no fire pump. There is a police boat, and it does have a fire pump. But it is only out on busy summer weekend days. That's it. And there's really only one officer (a friend of mine) who knows how to operate it. A couple others sort of do, but I wouldn't want to count of them. Any fire department response will be from shore, just like it was in Stamford.
If there were a fire and the police boat was needed, it might get to the scene within 20-30 min, but only if the officer who knows how to use it was already on duty. He would have to drive from wherever he is to the marina where it's stored. get it fired up and under way, then make it to where the fire is. If he wasn't on duty, it might never happen, depending on whether or not he can get called in.
In contrast I spent a bunch of time in Dana Point in CA a few years ago, and was surprised to see how many "official" boats there were. Country Sheriff, Harbor patrol, Police, and probably the fire department too. Everyone gets a boat, and there are always a couple of people cruising back and forth in one or more of them. All I could think was "wow, what a waste of tax payer money".