As a general rule, those that are shown on documentaries have signed a waiver (while they were alive), for their remains to be used for research. Ever see Discovery do a documentary where they stated that there was a political reason for the disease or death?
I know the show I watch on A&E is called The First 48. They are following detectives from when they receive a call about a homocide until they pass through the first 48 hours after that call. There is no way the "participants" in that show give prior consent.
I fall on the side it should be documented, by someone. Whether it is the local officials or media (which I lean toward because of the incompetence of the local officials in some areas up to this point). But, I agree that if anything about the body or location of where it is being retrieved from could, even remotely, give away the identity, it should not be shown.