er, that's why they are getting ISPs to block the routes to the sites, rather than taking the sites down.
They already forced ISPs to do it for child porn, then the courts enforced blocks on "pirate" sites because the child porn filters proved that it was technically possible, next step (previously announced, due to come in soon) they are forcing every UK ISP to implement porn (_legal_ porn) filters.
And now it's "block stuff that isn't porn/child-porn/illegal-under-copyright-law, but we don't like it anyway". No surprise.
Whenever a controversial law is proposed, and its supporters, when confronted with an egregious abuse it would permit, use a phrase along the lines of 'Perhaps in theory, but the law would never be applied in that way' - they're lying. They intend to use the law that way as early and as often as possible.
And the punchline is we're still surprised every time the ratchet turns tighter. Every. Fucking. Time.