So please explain how China's censorship is fundamentally different. Does not a sovereign nation have the right to control things that may be fundamentally destabilizing to the country as a whole? I know I'm playing devil's advocate here, but it is an interesting question.
Well, take the case of the DMCA. Yes, it's a terrible law and should be repealed, but the approach to handling it is fundamentally different from China's censorship. If this were Chinese style, any site which argued that the DMCA is flawed or should be repealed/reformed would get a blanket disappearing imposed by the government.
But since it's not Chinese-style you can talk about the DMCA all you want -- the only things that disappear from search results are specific URLs which are claimed to violate the law itself, removed not after a wide-ranging government demand but after a narrowly-targeted civil-law complaint (and there's a counter-filing system which allows maintainers of those URLs to respond and have due process -- I doubt very much that China allows such challenges to its censorship).
EDIT: Note, I am 100% against censorship.