People don't have to be "desperate" to say something for free speech to matter. The whole point is that you don't find out where the line is until someone crosses it.
There are plenty of examples where speech has been curtailed or punished. In the UK, people have been arrested or prosecuted over offensive social media posts under laws like the Communications Act and Public Order Act, and there have been debates over police recording "non-crime hate incidents" based on lawful speech. In the US, while the First Amendment gives much stronger protection against government censorship, there are still examples such as protesters being arrested under laws later struck down by courts, attempts by public officials to pressure platforms over speech, or government employees facing restrictions on certain kinds of expression.
The issue isn't whether "normal people" can usually say what they want. Most can. The question is whether the state should have broad powers to decide what opinions or jokes cross the line. Free speech isn't really tested by popular opinions—it's tested by speech that people dislike.