Imo, it’s strictly bad faith to be blamed: on the right, there is a refusal to separate the violent, unprotected speech from the protected opinions.
Meanwhile, the left seems to be refusing to accept that coercing people to act a certain way does not actually change what people believe. A list of banned words and opinions will never make the world progressive. Deplatforming people over truly just opinions or mannerisms is a temporary win.
Social media isn’t really a moderated community. It has “rules” and you can get “banned,” but Twitter is less “moderated” than a typical comments section. So when people act in bad faith, there’s no recourse unless they explicitly break rules. On say, a typical old Internet forum, it’d probably mostly be considered dramatic to do call-outs, not to mention pointless due to the disconnected nature of identity on the old internet. On Twitter not only is it common but you can make as many bad faith arguments and take as many things as far out of context as you like in attempts at character assassination. You can concern troll, you can use known misleading sources, etc. and even if someone calls you on it, you can just do it again later.
As usual though, most people are pretty “selfish.” A lot of people “get away” with being not “progressive“ enough because people like them. What happens is eventually someone has a trivial dispute with them and decides to seize the moment to pull out as much ammo as possible, which is how you end up with 50 page google docs arguing as hard as they can that every mistake someone has ever made is evidence that they are irredeemable.
So in self-preservation people become dishonest. And I mean I’ve seen it first-hand. Their beliefs haven’t changed, but they have to say certain things publicly in order to keep their status. And other people who also don’t believe in the things they're saying will express their disappointment if they ever deviate. It’s an amazing circus show. Things have gotten very perverted.
With the right, they are of course taking advantage of this in the worst faith way possible by using it as an argument against being progressive in and of itself. It’s not the methods, it’s the ideology. But in the same way a civil rights riot and a doomsday cult riot are not the same thing, there’s always going to be too much nuance for a conclusion that oversimplified.
Meanwhile, sites like Twitter simply do not give a fuck. All they care about is brand accounts, ads, and public image. But mostly the first two. So fat chance if they’re going to risk lowering engagement to help fix broken incentives.