I don't think it's fair to pretend the only options humans have are the extremes of private and state ownership. Greed and the weight of capitalism under rail expansion in the US completely obliterated at least 15-20k years worth of Indigenous "non-rigid land ownership", being the apex system of human power consolidation and all that.
Native American nations and tribes didn't "own" land in the way that European colonizers did, under a doctrine of private property, written deeds and legal systems. Even under tribal territories, access was fluid.
America and its land was held communally by tribes and was generally understood in terms of use rights. If your nation, family or tribe cultivated a field, you had rights to that field as long as you actively used it. And stewardship of the land was seen as something to care for, not a commodity.
And this was the way things were in America up until a few hundred years ago.