most western states (and, in fact, most states) don’t suppress discourse as much as the USSR often did

This is hard to say outright just because of variation between and even within western states (I've seen very petty arrests over discourse in my state), but overall I agree, yes.

I also think it's important to understand why it was the case. Western countries all have a similar media landscape so I propose the propaganda model described in the book Manufacturing Consent applies generally to them. The result of those filters being, the loudest voices are those of state (relevant former-CIA interview!) and commercial interests (in the US, mass media it's almost all subsidiaries of Comcast, TimeWarner, Disney, News Corp, NA and Sony at this point), which may clash, but rarely ever enough to threaten the state or the status quo - the state treats the biggest companies well. Major news broadcasters aren't promoting major change even when they criticize a government or leader, they usually just say 'vote for the other liberal politician!'. The discourse is generally so tame, within the bounds of simple policy and culture changes, rather than threatening the state, so it doesn't really need to be suppressed by the state. But when it does (see Jan 6, or laws about threatening the president at all), we start seeing the limits of where discourse is allowed.

In my understanding, USSR didn't have as much luxury there. The people with the most money, rather than those with the least, have an interest in fighting the state and allowing them to have the freedom to use their money freely to gain power. So discourse which threatens the state will probably be a bit more scary to the leadership. I don't think it's a good thing (for example, it reminds me of news I saw of China's state suppression of Maoist protesters, which comes off to me as fragile and repressive) but I understand why they don't give as much liberty as the well-established propaganda model of the USA.

There's also something to be said about the suppression of discourse that our economic system implies, rather than the state suppressing it. See this clip of filmmaker George Lucas talking about freedoms in film art wrt USSR and USA. Obviously I'm not suggesting the inability to publish art is the same as being arrested by a state, obviously not! Rather, I want to highlight that one can't just point to state policy to compare the freedom of discourse.___