However, the censorship requires enforcement. Post austerity the UK police force is overstretched and undermanned by its own admission. For example, the Manchester Police Commissioner stated just the other day that 43% of real world crimes are not investigated due to budget cuts.
https://www.bbc.co.uk/news/uk-england-manchester-47963134
So British government can write all the laws it likes, until it starts paying for enforcement I don't see how it matters.