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Reflecting on his career in a 2024 interview for Canada's Theatre Museum, Greene said: "When I first started out in the business, it was a very strange thing where they'd hand you the script where you had to speak the way they thought native people spoke. And in order to get my foot in the door a little further, I did it. I went along with it for a while ... You gotta look stoic. Don't smile ... you gotta grunt a lot.
"I don't know anybody who behaves like that. Native people have an incredible sense of humour.
"And that's what I said to Kevin [Costner]. I said, you know, the people in this film [Dances with Wolves], in this village, they have an incredible family, incredible relationship and fun has always been part of that. Fun is 50% of how they live and enjoy things. Family is family, no matter what."