The Four Noble Truths of Nietzsche

I don't think that Nietzsche would assert that the source of suffering comes from desire, right? That seems to be something that he is not really focusing on as much in his text. At the same time, I also think that if we really focus on like Buddhist conceptions of right being and how we ought to behave in the world, they are not strictly speaking moral conceptions in a way that I think that Nietzche would find interesting.