Do people really try to become billionaires? they start companies intending to become (multi-)millionaires and they do better than expected and become billionaires.
I think some people do set out with the goal in mind of becoming a billionaire and I don't think these people succeed. Like you said, I think people who do become billionaires are fixated on a more proximate goal (like starting a company that serves an important need) and end up exceeding their initial expectations.
You're right, I was working backwards from the life-stories of billionaires I've read about. There are surely a vast number that wanted to become billionaires before they were even millionaires and failed.