You are absolutely right OP, once a trader starts to be successful, they'll keep on pushing to make more and more money
Most of the pro trader has the mindset earn more and more profit after a successful run because no one else will be contented to a single success if trading is your source of income? This so called Greed factor that OP mention are for those traders doing leverage trading with high leverage which is obviously not in the traders official handbook.
The #1 common cause of traders loss of money is the patience to wait on the perfect opportunity to enter and exit in trading. I believe TIME is the best factor that affecting traders risk management considering that traders that we are talking about here are PRO traders and not those casual traders that don't have any idea on the fundamentals of trading.