I always let my animals spend time with the animal who has passed on. When my 17 yr old bluey had to be PTS we allowed our then 4 yr old bluey sniff him and spend time with the body. She kinda tried to wake him up and when he didn't she lost interest. We then wrapped him in a sheet and buried him in the paddock. To this day our bluey doesn't like it when we wrap our "new" dog in a towel after he has a bath, she gets distressed and tries to pull the towel off him. I now keep him in the bathroom until I'm done with towelling him.
When mares lose foals we always let them see the body and spend the time trying to "wake" it. We also do this if we have to put horses down. We allow the other members of the herd to see them lying still.