Isn't the whole point of the blockchain that once something is there, there's no way to get rid of it (without invalidating the entire thing)?
As far as I know (and that ain't much -- I'm not an expert), bitcoin's fundamental contribution was solving "The Byzantine Generals' Problem"[0] in a novel way by using its proof-of-work algorithm combined with the blockchain. This is how/why it works and has been adopted the world over.
Personally, I would say that the whole point of it was not to store censorship-resistant information, but to provide a store of value independent of the current system of state-controlled and/or -regulated fiat currency. The fact that it is also useful for storing censorship-resistant information is a side-effect of the developer adding that feature to the code.