That's hardly the full story. The UK prescribes a limited right to free expression just like other similar countries, although it is weirdly limited in several ways. Notably it's relatively easy to use the courts to prevent the dissemination of information harmful to a person or business, or even more vaguely harmful, like "incitement to hatred".

For example, take Article 10 here, https://www.legislation.gov.uk/ukpga/1998/42/schedule/1