go check out the dog. Police dogs are no different than every other type of dog. Some are hard to handle, some are a dream, some have DA, some have none etc.
Any dog with drive is different than your run of the mill house dog. I do not accept DA, but I still have to watch 2 of mine and they can't be left alone together. But we certainly can do everything together as well. Camping, running, biking, hanging out in the backyard etc. But I know what to watch for to stop anything before it starts.
A lot of the handlers I've worked with are required by their PD's to keep the dog kenneled when not working with scheduled "family" time to hang out too. Like mini vacations. Most of these handlers have families with young children and other dogs with no issues. They aren't all exactly the most dog savy people in the world yet they make it work just fine. They've been given the keys and taught how to handle to an extent, but a lot don't learn the in's and out's of what makes the dog actually tick without a lot of outside work on their own.
But go see the dog, it may or may not be a perfect fit. What passes as a police dog varies as much as what passes for a "good" german shepherd
you won't know till you go see.