The issue is not isolated to kleptocracies, many western countries are backsliding.
UK government has insane libel laws, they allowed the head of notorious Wagner group to sue UK journalist for libel in Britain. At the time head of Wagner was under international sanctions for war crimes. The journalist was reposting on the very same war crimes.
He was taking advantage of the same laws that protect extremely wealthy people in Britain, whether domestic or foreign.
Freedom of press needs investigative reporting, serious institutions to do research, etc. Without them, all you have is crazy people spreading conspiracy theories on social media.
Governments and people of power are attempting to surpress free speech as hard as ever today in most of the world, including your example Britain, or why not Australia or Brazil. The difference is that with the internet, speech is much more free _as practiced_ than ever before.
Your talk of "crazy conspiracy theorists" doesn't reflect well on the rest of your comment. This is a term that has been used very much as a slur to oppress free speech. It's basically the modern equivalent of calling somebody a heretic. Many of the people doing the investigative reporting you're calling for have to endure being called this when people do not agree with their reporting.