I had a friend in Tucson who trained police, SAR, drug, cadaver dogs. Those dogs were just amazing and once trained, would sell for as much as $8000. Most of the dogs she trained were Belgian Malinois rather than GSDs. There were times when I would swear those dogs could read minds.Oh and since most came from Germany, you had to speak a bit of German to talk to them.
I would sometimes help with training exercises and one of the things I would do is, after the SAR dogs came back from a "job", we would schedule times when we would hide so they could find a live person. Finding too many dead people would depress them and they needed the lift.
And many years ago, when I had bookstores in Denver, there were a couple of times when K-9 units responded to my store alarms going off. The cops wouldn't let me go in but would send a dog.
One night, the dog came back out, literally leading a bad guy by the wrist. I was completely blown away by that and the dummy burglar was just embarrassed.
I remember a story that made the news about a K-9 cop being sent into a hardware store and bringing out a kitten that had somehow gotten in and lost in the store.