Sure, if you admit that the information and the entertainment available in one's country should align with that country "interests", then there is no doubt about it. However the West markets itself exactly as the place where such thing doesn't happen, so that's where the problem lies.
The marketing and the reality are somewhat different. Ignoring the fact that “the west” isn’t one political regime, it is about balance. While the US prides itself in allowing people to run around cosplaying as nazis under the guise of freedom, other countries consider that to be offensive and would legislate against it.
It’s a wide spectrum. Any extreme of censorship and a complete lack of censorship and control will quickly lead to the decline of society. Nuance is where everything is. No absolutes.
Not the West, just the US. Free speech outside of the US isn’t really a thing. The UK in particular has been very aggressive in censoring speech recently.
