I also have never heard of anything of the sort in pre-colonisation American civilisations.

Furthermore, I wonder how the history of hinduism would fit in such a developmental frame. Hinduism is a polytheistic religion that dates back to traditions in antiquity thousands of years ago, but only became widely popular in the medieval period after Buddhism began to decline in the Indian subcontinent. It also was not replaced by the expansion of monotheistic religions (first islam and later christianity). The overwhelming majority of people in India and Nepal today identify as Hindus (so adherents of a polytheistic religion). And yet India is one of the fastest growing economies with many modern technological developments.

Of course I can't be sure, but this question appears to presuppose some outdated eurocentric notions about civilisational development and a certain degree of technological determinism. So i too wonder what your sources are for these ideas.

What is the source of your perception that "traditional polytheistic religions were practiced in the Americas much more recently than in Europe, Asia, and Africa but sort of died out at the same point in the civilizations technological era or before they could reach that point by Colonization"? Are you suggesting that you have evidence that there was a die-off or abrupt change in New World belief systems before colonization? I know of no such evidence. What evidence are you using and/or contemplating?