The desire for more power, and thus funding, and thus better career aspirations is as relevant to CPS as it is the local PD.
Of all the spilled ink on the topic of how this stuff happens, there seems to be a culture of, "We lock up the bad guys and throw away the key". It doesn't take much to put you into the "Bad Guy" territory, and once you're there, you're not a person, a mother, a son or spouse with a life all your own. You're a threat to the societal order (no longer a human being), and deserve the full weight of punishment regardless of its implications.
The police departments which manage to actually take high crime areas, and turn them around into lower crime areas despite widespread poverty have undertaken a paradigm shift from, "Putting away bad guys" to "Building a community". Getting to know the community, its problems, its major players and learning what their struggles are and trying to find a way to integrate into solving those problems, using law enforcement as a tool and not its own pursuit.
Assume the default for these kinds of agencies is false negatives.