I think GFW is more of a fallback (hammer) in the overall system but yeah that does happen "in detail" on WeChat etc.
In the US, censorship is obviously a hot-button political topic (core values), but we are starting to see US concerns around things like troll farms, foreign influence, election misinformation etc and systems to quietly tamp that down. The sorts of things that appeared in the "Twitter Files".
The US doesn't usually need "big hammer" technical controls for this because they have legal control over the corporations involved and can ask them to moderate themselves in line with US law & natsec requirements.
Places like e.g. the UK are in an interesting pickle because while they are _largely_ culturally aligned with the US, their lawmakers don't have the same level of influence on platforms. They can either impotently "shake their fist at the sky"; or they can reach agreements so the major platforms co-operate with their governments; or they implement China-like technical controls.
