Word for "proportional government based on map area"?

Since the US election the other day, I’ve started seeing the usual spate of choropleth maps like the one below.

[source and discussion]

These are problematic for representing the results of political elections, because what matters in those elections is (usually) the total number of votes cast by persons, while the maps are weighted instead by area. For instance the map above is predominantly red, but it represents a result in which blue had a couple percentage points of advantage. This is possible because many of the red areas are large but contain only a few people, while many of the blue areas are geographically small but have very dense populations.

I’m looking for a single word which describes a (hypothetical) system of government where equal areas on a map earned equal representation in the legislature. I would expect such a word to follow the same structure as “democracy,” which has a Greek root (δημος/”people”) plus the suffix -cracy from κρατος/”state.” Other examples in this model are “aristocracy” (αριστος/best), “kleptocracy” (κλεπτον/thief), “kakistocracy” (κακος/worst). Branching out a bit would include “monarchy” (μονος/”single”, αρχος/”ruler”), or similar models.

This word would fit in a space like

In a(n) ________, maps like the above would be distortion-free representations of an election result; there would be no difference between a(n) _______ and a democracy if the population density were the same everywhere.

I have an idea for what this word should be, which I’ll put in an answer, along with my reservations about it. If a better word already exists, I would love to know about it; if the word that I’ve coined is well-attested and I just can’t find it, I’d like references to that as well.

Also my Greek is super-rusty, so corrections to my etymology here are relevant and appreciated.