"We had no criminals, we had no thieves, we only wanted things to give them away" is a very curious thing to assert as non-utopian; equally curious to assert it as how Sioux society was, considering they were famously warlike against fellow indigenous cultures. I suppose they wanted to give away violence?
White colonialism made the lives of indigenous people worse. But it didn't do it because it 'invented crime', or 'invented greed'.