As someone who has lived under a dictatorship, there is a difference. Laws in "democratic" countries and dictatorships don't differ so much. The difference is how they are enforced and what recourse you as a citizen have. In a dictatorship, the government rules that a show/film/song violates the law. No one not willing to go to jail challenges it. In a democracy, you are free to post a rant or picket because you disagree with the ruling. You are probably allowed to appeal the ruling and you wont disappear if you do appeal the ruling. It may look like both the UK and Saudi are censoring the media but I can definitely tell you it is not the same thing.
Sure, there are definitely different degrees of censorship. Sometimes it happens for good reason -- slander, libel, inciting violence, exposing children to pornography. Sometimes it happens for bad reasons -- to suppress different opinions, to intimidate individuals, or simply to exert undue power over another one for monetary gain.
But censorship is censorship, and when we refuse to call it by its name, we allow ourselves to forget that there is a powerful force controlling what we can see and consume. That kind of power must be checked, and checked always, and we must constantly re-affirm our consent to that power just as often.
Look I don't know why the UK does not allow parlianmentary footage to be used in anything other news/documentary programs. I have to admit I don't see this as totally unreasonable. Like all laws they are pros and cons to the law. Since footage is available to public just not in movie there is nothing stopping you viewing the footage. That surely cannot be sensorship but some sort of ill defined copyright application. I am not sure I want to public funds to create footage for movie makers to use to push their own agendas.