Marx read the Ancient Society by Lewis H. Morgan and based on his notes Engels wrote this book which was extremely popular amongst first wave Marxists and second wave feminists. The very concept of primitive communism is drawn from the Iroquis society as described by Lewis H. Morgan. He compares them to the even more "primitive" Australian Aborigines and to the more "advanced" Puebloan peoples, Incas and Aztecs.

This doesn't answer your question, but it's an interesting piece about the interaction between Marixst and Indian (in the modern sense) points of view. I found it very enlightening when I wrote about this topic, although I won't refer to it, because it's parallel to your question but not within it

In native Americans, the potlach is the most conspicuous example of primitive communism. Although it is a subtle point, it's one worth emphasizing - in potlach, status was created through the loss of material wealth. This sort of transaction is a common feature of virtually every culture I've ever studied, and appears here and there among primary sources on the Indians.

In another case, you just need to search the Jesuit Relations for instances of 'gifts' for some insight. From the 23rd, "Gifts are made to one another by the tribes present on this occasion; those of the Nipissings alone 'would have cost in France forty or even fifty thousand francs'." The Indians also traded, but received lavish gifts for those trade rights (and gave lavish gifts to the Europeans, on occasion). Their trade and expertise was contingent on French upkeep of their relationship through material means, without any promise of material return (although with great material return anyway).

The biggest problem with calling anything "primitive communism" is that the term is a way to talk about the way humans interact and not a strict or conscious economic system. These systems have transactions, but often for intangible things and without contract. One can see the marriage of a noble daughter to another noble house as being a primitively communistic action - the giving of a gift to create a relationship which then has benefits. If a group of hunters brings food back for the entire village, this is primitive communism as well. The gifts have significant economic value and are a major way that wealth is shared.

I would hazard many native economic practices fell under primitive communism, as groups shared for mutual survival and the building of relationships. But to say any of them were conspicuously communist would be wrong. In the end, family and local groups always accumulated wealth for themselves at the conscious expense of others.