Thank you. Finally someone said it. This was not the least bit counterintuitive to anyone familiar with randomness.

We're they trying to imply that people should assume the distribution would remain uniform?. That strikes me as more "insane" than intuitive.

It's simply a function of how the tokens are being exchanged that would almost require some actors get the short straw, and since this is happening 100 times per round, that randomness ensure some actors get progressively shorter straws over time, because randomness is neither fair, not even. It's randomness.