Bitcoin and Wealth Distribution

Let me preface this by saying that i only recently got into this whole topic and therefore might misunderstand some stuff. I see a lot of people talking about bitcoin (and other CC) having a revolutionary effect and kind of overthrowing the immoral traditional banking system and such. That whole angle got me thinking about the societal implications of Bitcoin and other Cryptocurrencys. So with traditional money i feel like we at least have some statistics on wealth distribution, we can determine if it is fair (its not lol) or at least not completely messed up and there is at least some understanding who some of the really big fish are. Now with Bitcoin as far as I understood it you can somewhat trace individual wallets, but there is no way to know if one person is holding 10 different ones, so is it impossible to get an accurate picture of wealth distribution with Bitcoin? And is that a bad thing or not? What do you think?