They don't control the means of distribution, though. They only control the means of approved distribution.

Sure, I don't have a right to their product. But equally, they don't have a right to my money. If I offer them the usual industry price for the product and they refuse, what then? How does it then "promote the progress of science and the useful arts" to prevent people from watching the show?

You seem to be favoring the view that the consumer should be the only one who ever has to compromise. Companies go out of business that way.