ja, most traits are maybe not equally but normally distributed. The need for communication, entertainment, even our taste, and our ethical views. Also, skills are normally distributed. But information follows power laws. Followers, Money, Influence, ... there is only one pewdipie with 96 Million followers. Not 1000, not 100, only one. And it does not matter if you start with equal conditions. After n rounds there will be one node holding most of the resources.
It's maybe not impossible to scale. Make stake private, make voting contribution anonymous and introduce unique user identification so that self voting is impossible, even with multiple accounts. Stake should only give you the possibility to earn return. Its Proof-of-stake, not proof-of-status, and proof-of-brain and not proof-of-egoism.