I think this is twitter that is being exposed rather than newspapers like the DM.
But supposing a law was brought in to address some of the comments put up everywhere that are threatening. Google etc. are being held to account so why not the media? Racism, homophobic comments are supposed to be an offence. I have seen Meghan racist leaning comments.
I cannot insult a person in RL with a racist comment why should an insult on the internet be excluded from this?