polynesians: have oral history that references a faraway land of andes-like mountains in the east, cultivated sweet potato (a plant native to central america, not the pacific), literally call sweet potato by the same word used by the quechua and aymara people indigenous to the andes, left physical remains on islands a few km off the coast of chile, have genetic links with native south americans
white academics: hmmm it’s very doubtful polynesians contacted south america.. they probably just stopped permanently at easter island for some reason after systematically navigating the entire south pacific. the sweet potatos floated to them across the ocean