I think you have presented the better argument.
Even with more wealth and prosperity, the problem remains one of distribution because capital circulates in pools that not everyone accesses. Of course everyone has theoretical access (its the dining at the Ritz point) but everyone isn't accessing as a fact. And that fact is due to a number of considerations not always within any player's control and both fair and unfair.
Take our involvement on this platform as a case in point. Early vs late adopters; featured vs unfeatured authors; shifting of goalposts because of rule changes, etc.
It remains a fascinating experiment in using rules to shape behaviour. As long as we don't forget that its rules are as limited as a Keynesian model. The real world is much more complicated with a host of influences that we haven't event begun to get a handle on.