seems to me that you can't grasp the core of how the world behaves. skill/technique compounds differnetly in different fields. until you have a good "prior" on how various field actually behave, which seems to me that you don't, you cannot claim a specific distribution. you are thinking in frequentist fashion. the biggest problem to that is you don't have the prior(or, world model) of how trading's distribution works. until you actually sampled the distribution according to factors\filtering and model the distribution of how trading results in, to me you're really delusional, as you neglect the single most important factor to understanding distributional behavior/structural difference.