So that we get the shocking visual image of seeing that this planet we never heard of before has streets draped in ... DUN Dun dun ... green-blue-and-orange tricolors with tilted-diamond icons over them. And everyone in the audience turns to whoever they're watching with and asks why the music just did its tension hook there.I mean they could have had Gill introduce an authoritarian system to civilize the Ekotions without having him stupid enough to use exact Nazi slogans & uniforms. Then simply say, "He has attempted to bring order to this society by advancing a draconian police state"
That's way better than, this week, Nazis in space!
If they had more screen time maybe they could establish a unique set of symbols, methodology, techniques and such and then also establish how this was different from whatever the Ekosians had before Gill's interference. But a swastika on the alien planet establishes the same thing in about as long as it takes the eye to register the image. So, you'd need some compelling character or plot reason for Gill to whip up his original scheme.
Perhaps they could have done some synthesis of images of the various great totalitarian regimes of Earth history, although, would Space-Nazi-Communist-Fascist-Persian-Spartans be any more coherent?