Not really. You only have to believe that there are some complex actions which, if taken on an individual level, benefit society. For example, starting a business, or skilling into a highly demanded field such as medicine. Doing these things can be highly financially rewarding, and that means that people are more likely to attempt them than they would be otherwise.
You don't have to believe the "luck begets luck", and there is certainly injustice in the way wealth lands around society, but not allowing people to become rich by taking socially-positive risks removes the marginal incentive to do so. That is, I believe, GP means by "the whole doesn't progress".