Scalia is (was) not "most people" (he was one of the 10 most powerful people on the planet) and Scalia did not die at home.
That has nothing to do with it-the fact that he was important and powerful does not make his mortal remains the property of anyone but his family when there is no evidence to support murder, accidental injury, drowning or any other unnatural cause of death, whether he died at home, at a guest ranch, on a hiking trail or in a brothel in Reno-although that last would certainly be sensational...
The government here and the public do not own the remains of anyone who has not signed a donor card unless an inquiry finds there is evidence of foul play or other unnatural means of demise.