I heard the PBS bit about this, and one of the actors was doing snatches of Shakespeare in the supposed Elizabethan accent. He gave it a sort of nasal pirate sound, resembling Long John Silver's pirate drawl. It was strange, but what I liked was the fact that it sounded less stilted and posh than the accent generally used by actors delivering Shakespeare. That, at least, reflects the common (pun intended) ancestry of Shakespeare and many members of his audience.