Personally I would consider neither of those examples as censorship. Unless the theater in your second example was the only theater in the world. When I said platform, I probably should have clarified that I meant "big platform".

There is still a difference though. With self correction, you make the choice. With platform censorship, the platform makes the choice for you. There may be an external force in both cases, but in the former case you can still choose to ignore it.