How quickly we go from personhood to the impersonal body. Not even an hour before this moment, Polonius was a person with a body, of course, but he was himself. If you were looking for Polonius, you would not inquire after the body. But the moment death kicks in, your body, while seemingly still connected to the idea of a person, suddenly becomes the body.
There is a clear difference between the living body and the dead one. It is not always immediately clear in the moment. There is a moment of blurriness between life and death but once that moment has passed, the body becomes the body and the person a memory.