The UK Labour party's "Online Safety bill" just got almost all of Britain banned from Twitter to the point where artists aren't able to see their own posts, and the Labour party is pretty far left (but all of Europe seems far left to an American like me). Currently Offcom, the british communications department of the government wants to arrest the heads of some American social media companies, and there's a very high likelihood that they'll be sued into oblivion, because that shit may fly in the UK, but it doesn't fly here. The UK government things they're a bigger deal than they are, but the vassal states are clearly getting too big for their britches.
Ultimately this is a government problem regardless of what side it's from, but the left does have a pretty significant history of attempting to censor adult content. This entire situation with Collective Shout isn't even the first time radical feminists have been radical censors. They were a big problem in the early 2010s and it radicalized a lot of gamers against the left back then, because they were very clearly leftists. When they weren't talking about feminism, racism, or any of the other istaphobias, they were also promoting socialism. I just see this as more of a continuation of all of that.