You should spend some time reading the comments section of the Guardian before being so sure about this. The Guardian has a policy that you cannot post comments that insult or offend the journalists. Because, you know, that'd result in a hostile and threatening environment, or whatever.
The result is that comments which point out bias, or even factually inaccurate statements, have a habit of being rapidly deleted. Because implying that a journalist has an agenda or might not have done proper journalism could be offensive, you see! I've observed multiple times comments that would be +5 Insightful here on Slashdot being erased within minutes, thanks to their unbelievably vague and broad set of "community standards".
Or take a look at the totalitarian way the UK police are attempting to make Facebook and Twitter non-offensive. Someone posted on Facebook that they thought soldiers might (gasp) have personal moral culpability for signing up to fight in Afghanistan or Iraq and killing people. The mother of a soldier saw the post, was offended, reported it to the police and the guy ended up being sentenced to community service. Only because he repented his heresy of course. If he hadn't he'd have been tossed in jail. Now is the idea that soldiers are responsible for their actions really so offensive? Of course not! That was the core legal basis of the Nuremburg trials: "I was just following orders" is not a defence.
If Twitter decides that any threatening or harmful tweet is to be erased, half of Twitter could end up being thrown out. It's too bad their new CEO is on the warpath about this. People who received threatening tweets or whatever, could always just log off and stop seeing them.