There’s some fairly deep statistical analysis out there on the Doge voting. To my memory it was only subverted once, leading to some changes. The analysis I remember concludes they have like one more round than needed to meet goals of the voting in terms of fairness, representation and difficulty of capture. Anyway, it’s a very interesting bit of voting history that lasted a long time.
Best not to overthink think. It’s the best random number generator they thought they had. Even ours suck.
They just wanted a member of the Aristocrat to be in charge is the point. An inauguration validated with whatever appears like merit (but the whole thing is rigged since only one type can ever win - the aristocrat (the entire pool is aristocrats)).
https://www.theballotboy.com/electing-the-doge