"Unfortunately at times, you're going to find that feeling useless just comes with the job." Too often one ran into a dead end, or even worse had to deal with the political side of things to ever manage to get anything done. Even Amadeus who was adept at maneuvering those politics often found it more frustrating than not.
There was little use in keeping the body. Kindred bodies didn't keep well and there was little use in hanging to it anyway. What Amadeus could do with a body was about as close to forensics as the Kindred got. Besides, if they kept the body around then someone might find out about it. "We burn it. It's standard procedure to burn all Kindred bodies. Even those of Primogens. In the end, we all burn."