Daniel Everett's writing influencing The Priest's story?

I just learned a little bit about a man named Daniel Everett who wrote,now mostly considered inaccurate, about a Amazonian people named the Piraha. His descriptions of the society, while appearing to be controversial, seem to mirror that of the Bakura people in Hyperion. Specifically around the language. He was also a missionary(who then had a crisis of faith), which made this really hard to ignore. Is it possible that Dan Simmons used this as an influence?