Definitely appears that there's some kind of soft-cap on what Great Apes outside the human genus are capable of mastering. 10,000 monkeys given an infinite amount of time will be unable to produce a work of Shakespeare primarily because they cannot grasp the ideas of grammar and or symbolic speech.
Even setting aside whether some number of macaques can learn to master the use of a typewriter, there's a real reason to believe they aren't equipped to derive complex and multi-layered vocabulary. Shakespeare is replete with puns and monkeys just don't grasp that kind of language.