There's
some truth in what you say, but it's filtered through a distorted lens.
Like many countries, the UK government makes the laws and the courts interpret them. The government can't ignore the courts, but can introduce new legislation.
The UK population leans more conservative than many other European countries, but free speech, for the most part, has broad public support. There's a lot of discussion around where the line should be drawn, however, and the government tends toward a more restrictive interpretation, while the opposition tends to oppose censorship.
There is a strong element of class in the UK, but this is often misinterpreted. Class in the UK is not particularly fluid. You can have power and wealth, and still not be considered upper class. In the current government, only a minority of MPs are upper class, and of the current cabinet, only one attended a private school (a typical indicator of being upper-class).
The raiding of the Guardian over the Snowden leaks was justified as recovering stolen national security information, and was widely (and rightly) criticised by the press at the time. It's not a common occurrence.
Now, I don't mean to justify the UK government's behaviour. The government bows to the whims of GHCQ far more than it should do, particularly on any technological issue, where it seems GHCQ is the only one ever consulted. Obviously putting backdoors in messaging software, or raiding newpapers, is both incredible stupid and has ultimately lead to the UK government backing down.
But that, I think, is the important part - that it backed down. The UK has a lot of flaws, and certainly isn't at the top of the press freedom list, but it's also consistently in the upper quartile (and notably above Slovakia, if you want a reference point). Looking from the outside, you see the exceptions and controversies - the parts where the system fails - which makes it easy to get a distorted picture of the situation.