From that standpoint the dog can come under the fold of the family pack setting. But under no circumstances should a police service dog be put in a position where it is expected to take orders from the officers children or spouse. Police Officer would never allow their family members to take control of the service weapon, the same holds true for their police dog. If this happens the officer is courting disaster. There is too much of a risk of the dog either biting a family member or guest when unsupervised by the handler.
New handlers are always better police officers than dog trainers.
This is a simple fact of life and not meant as a critical statement. Many handlers have never owned a working dog, many have never owned any dog before. These men and women are then given a high drive adult dog and sent through 6 or 8 weeks of basic training. As such, they often do not have the experience to deal with new police dogs interacting with their family and friends. I even believe that every police department should have a policy that their service dogs should be put in a professional boarding kennel when the officer is on vacation.