Recent research shows that radiocarbon dating techniques have been fine tuned, refined to a remarkably high degree of accuracy. The chronological dating derived from archeological techniques of the Egyptian kingdoms was verified by radiocarbon testing of seeds and papyrus specimens from the tombs of pharaohs and other important archeological excavations. The chronology checks out.
So, the technique has been applied to 4,000-year-old papyrus. There is precedent. As I said a couple of posts back, I'd love to see the technique applied to P-52.