Scalia is a harsh conservative, and a constitutional textualist - meaning he believes the pipe dream notion that you can apply the constitution as written without judicial interpretation. I dislike most of Scalia's comments, I realize that he is the hero of Justice Thomas (the Supreme Court's resident Uncle Tom), and I think he is generally... well, pretty evil.
That said, I don't see the issue with keeping the media out of the speech. I agree that reporters can listen and write and then report. I don't see how "freedom of speech" translates into "freedom for media glam." One says you can say what you want. The other says big bucks sensationalists have the right to turn what you say into the next B-movie or 15-minutes of fame segment for Ashley Banfield. 2 very different things.
And, this is a fine example of what he meant when he said the rights we enjoy go way beyond the constitution. And on that point, I agree.