Why should they censor? We the people need to see these things to understand how horrible they are. If you censor this and things like children getting hit by shelling, war becomes OK. And war is never ok.
2) The videos themselves can be seen as a kind of propaganda, both for the violence a person might be capable of and the attention they might get for it. This I'm less sure of: I'd be curious to see if there's a contagion effect.
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.
