[SllX]

English etymology doesn’t get you there and encourages exactly the kind of distinction without a difference that I’m pointing out.

One is Roman. One is Greek. They describe the same concept, but it’s a concept that has been implemented differently both in their time and in ours: self-government. The forms and institutions are distinguishable as “Roman-style” or “Athenian-style”, but the same is true in 2022 of “American-style” and “French-style” republics.

[nullhack]

Did Google not give me Greek and Latin etymologies?

[SllX]

Sure it did, but with explanations in English most likely from etymonline.com which, I like the website, but is as much a point of view source as any other. A dictionary is not a source of truth, it’s an editorialized compilation of points of view staffed by people who write the words on the page. The definitions you cited also leave plenty of room for interpretation but the part you want to look at are the mechanics of their society and in particular how power was wielded and the maximum extent of a voter’s power, not a dictionary.