Yes, the State economy is capitalist, but the family groups are clearly operating under some kind of Communism. The article itself mentions it - "nothing you own is actually yours, everything is owned by the family." Thus wealth accumulation not really being possible, a hallmark of a communistic economy.

This is my experience with extremely rural areas or tightly knit / kinship / indigenous cultures as well. They happen to live on territory within a given State that's inevitably capitalist because the entire world is, but take a closer look and you'll realize it's almost an entirely different country within the village. A local example to me: everyone assumes the tribal leaders of Taiwanese indigenous towns are super wealthy landowners because their name is on every lot and house in the village. The reality: the villages own everything in common, and when government officials show up asking who owns what, the villages don't really know how to answer, so the government official then asks "ok well who's the leader?" And then getting that answer, just puts that name down for everything.

Edit: oh I see what you mean, right now, people are using cash to pay for e.g. the DJ. Yes, probably true because it's literally costing them money. My point there was that it's possible that an older tradition from a pre capitalist system that worked fine then is not compatible with how capitalism works. Many things aren't.