Shakespeare plays weren't copyrighted
The great classics from the Greeks were not copyrighted and in fact were EXPECTED to be listened to and copied to spread it about.
But your point about Shakspeare plays being unavailable if it weren't copyrighted (AC) is hilarious since they exist and there WAS NO COPYRIGHT. People would come to his plays and write down the play being performed and play it themselves elsewhere. Legally.
Yet despite this, we still have plenty of Shakespeare plays.
Oh, and ask the US why they made massive copyright infringement of Charles Dickens work so that he went on tour at his expense round the US to try to get them to stop. Ask whether Hollywood will pay for the theft of motion picture patents they moved to Hollywood to avoid paying for.
Yet, despite both "losses" of intellectual property, we still have "A Christmas Carol" and motion picture devices.