Indeed, I didn't quite follow all of your math, which I'm sure is my fault. But I understand the point that a voting mechanism can distort the result, creating minority rule by exaggerating the results. First-past-the-past does that too. In fact, now that I think of it, this is similar to the power-law dynamic which accounts for the lack of a middle class in the creator economy (which I wrote about and which I think deserves more attention).

You're taking a conspiratorial line on why these distorting mechanisms are in place in democracies. I don't know the answer one way or the other, but I suspect the mechanisms are there to prevent the well-known problems with pure democracy. You say majority rule isn't a problem, but it is if you can whip up hysteria by demagoguery (as Hitler did). It's a question of trusting the judgment of the majority. This depends on the quality of the education system and on the general health of society.

The fact that Trump got over seventy million votes after his term in office indicates that democracy can be perverted. This is one reason why there's a global authoritarian backlash against neoliberalism and democracy. Democracy isn't currently doing so well, and personal liberty might be overrated if it leads to a Trumpian backlash.