It's not the romance in the Hollywoodization that I deplore (I actually loved Last of the Mohicans, and found that it rang truer than most film efforts; it had a dignity and beauty that was completely lacking in the clownish Little Big Man) but the pitying and condescension and attempt to fictionalize history to avoid hurt feelings--next we'll be saying that Cleopatra was Cherokee.
Geronimo and Crazy Horse were the great generals. I don't see anything comparable among the Cherokee--and see no point in trying to create one to avoid hurt feelings.