I would rather see someone er to showing to much respect than to little.Hard not to respect an animal that is such a worthy adversary! My preference is quiet appreciation and to show the animal dignity,especially so when it's dead.
I don't have a lot of tolerance for throwing a dead deer around,or mutilating it or throwing it among filth,whether the bed of a pickup with a ton of crap in it or on the floor of a shed or gargage that isn't clean.
No you don't have to get all teary and sovereign but show the animal some dignity.That's my opinion.