Can't do that, it'll hurt the bottomline. Most users aren't keen on using platforms filled with spam, porn, trolls, and hate speech. And if you don't believe this, ask yourself why a lot of these sites don't allow porn, spam, trolls, or hate speech right now. It's partly moral, but mostly because it's bad for business.
Stricter moderation will be the more likely outcome, and we'll have even less free speech than we have now.
In fact, Twitter already does verify users for some accounts—that’s where the blue checks come from—and many of them are the most profligate misinformation peddlers. I think Twitter also requires new users to register with a phone number, and Google+ and Facebook both had/have real name policies, and none of that has done a thing to stem the flood of misinformation online.
Facebook et al have no real barrier to fake accounts.
I guess the conclusion that repealing it would result in more censorship is based on the idea that platforms would moderate more aggressively to try and avoid all liability. When really, that’s simple not possible, and they would have to abandon the practice all together. Well, the larger platforms would have to at least.