The relationship between wealth and quality of life isn't linear (beyond a certain point, additional wealth won't meaningfully improve your health, comfort, etc). But that's very much not the case for power. AFAICT, the relationship between wealth and power is linear as far as the eye can see. More wealth == more power.
It seems pretty clear that wealth is not the most sensible way to distribute power. Otherwise, why bother with things like democracy? We could have just stuck with something like feudalism, right?