So, who were the Amerindian people that presumably established this trade contact across the Pacific?
Considering close linguistic affiliation with Incas, (aforementioned kumar in Quechua is very close to the loaned word *kumara in Polynesia), genetic clues, as well as sea currents, one should look at the region around Ecuador first and foremost.
Here we can find two realms that flourished in this time period:
- the Chimú, who were a powerful kingdom centred on Chan-Chan further south in Perú, with a developed bureaucracy, extensive irrigation systems and extensive trade (with Spondylus seashells being the associated luxury item, along with precious metals traded the other way, from mountains inland), that later collapsed and was absorbed by Inca empire
- the Manteños (also called Huancavilca by the Inca), a loose group of chiefdoms centred on Manta, corresponding to large part of Pacific coast of Ecuador, who also traded in Spondylus seashells and remained independent after Inca expansion. Coastal Manteños were mainly fishermen while inland practised agriculture similar to the Chimú. Interestingly, it is said that north of Salango, the coastal Manteños practiced facial tattooing, as do Polynesians...
Neither Chimú nor Manteño language are directly attested, meaning we can have no direct confirmation of word loan source... It is assumed that the two cultures spoke related languages of what linguists call Chimuan language family. Likely descendants of the Chimú language is Mochica, still widely spoken in northern coastal Peru around 1700 but extinct by 1920 and poorly attested, and of Manteños, Huancavilca and Manabí, very poorly attested but apparently related to somewhat better known Puruhá and Cañari spoken further inland, of which Cañari might still be surviving into 21st century in remote mountain communities.
We can conclude that Manteños are perhaps the most likely source of transpacific contact.