Yes, but those are taught because they have a modern perspective which you won't get from Shakespeare. And it is hard to say that contemporary classics will last 300 years if you keep them locked under copy-write the whole time.

My point is that a world with Shakespeare under perpetual copy-write is different enough from this world that it would be very difficult to predict whether or not it would retain its status as a teaching necessity. It could very well be the case that we would be teaching modern renditions of folk tales instead. Or that someone else would write Shakespeare-style archetypes in a more accessible format, and we'd use that instead.

Everybody knows Shakespeare because everybody knows Shakespeare. Its hard to say exactly how much of that is undone by copy-write.