The filters you refer to aren't the ones CCC is moaning about. Yes, The Pirate Bay (on its original domain only) and a limited number of proxies are blocked by court order on the few popular ISPs that control most of the market. But the CCC isn't, and the vast majority of the stuff people are upset about isn't.
The CCC isn't wrong (I assume), the poster that TazeTSnitchzel was replying to is wrong. The CCC's website is, according to them, caught up in the content filters that all ISPs now provide as an optional service, which block things from pornography to filesharing and gambling sites.
The majority of people in the UK are not currently under this filter, and the rest can opt out if they choose to do so. This is not the case with court-blocked sites like The Pirate Bay.