I don't think that's a very sensical right (like most rights, frankly). Everyone has limits to the privacy they can expect. But we should have a social contract where we can expect privacy between mutually consenting parties intending to have private communication (eg not in a public square) without reasonable suspicion of a crime being committed.

Technology means there is only one truly stable compromise, imo: I am free to use whatever technical means at my disposal to encrypt my communications and those of my customers (!), and you can try to read them as much as you want.

Combined with the right to communicate across borders, you can get quite a bit of privacy: a server in both sides of a geopolitical conflict and they've got to collaborate to track you.

And yet metadata collection is both unavoidable (if you don't collect it, your geopolitical opponents will) and should be enough. We don't need chat control in a world where I get precision-targeted ads -- it's not even about freedom of speech or privacy, it's about freedom of thought.