Why do people have that right? I don't feel that right on behalf of my corpse, and I'm not aware of any legislation indicating as much. What I DO think people have a right to is to not see that content, if they so choose.
As far as being right wing propaganda, the video could be seen as propaganda for all kinds of agendas, but that doesn't automatically call for censorship. Jussie Smollet case is a good example of how right wing violence is jumped on by left wing activists as a means to demonize their opposition, in much the same way an uninformed "Social Justice Warrior" screaming that "all heterosexual intercourse is rape" is more likely to bolster right wing opposition than encourage other leftists to follow suit.