You are correct. However, these days significant portions of our communications are carried, curated, and distributed only through corporations - to the point where many people rightly feel those corporations have at least as much effect on our life as the government, without being held to the same standards of course. Expecting only governments to honor rights such as free speech does feel a little anachronistic in a world that's increasingly controlled by powerful economic interests. Restricting the obligation to honor human rights to governments is starting to look like a giant loophole, a legislative bug emerging from a legacy system.
Though I do not share these concerns as far as message board moderation is concerned, I believe there is often a good reason why people tend to invoke free speech instinctively in these cases. The expectation is that basic rights are not so much special allowances patronizingly handed down from the government intended for an increasingly narrow context but should instead be understood as innate personhood rights enabling people to live a free and dignified life.
Though I do not share these concerns as far as message board moderation is concerned, I believe there is often a good reason why people tend to invoke free speech instinctively in these cases. The expectation is that basic rights are not so much special allowances patronizingly handed down from the government intended for an increasingly narrow context but should instead be understood as innate personhood rights enabling people to live a free and dignified life.