Overall, I see Badgey as accidentally being the most sane one there and being a story of how sanity fares in an insane universe.
Here's my lore for Badgey and the ISS Cerritos (based on the IDW Mirror Universe and assuming that the mirror universe in Prodigy is the same timeline as IDW's mirror universe):
I kind of imagine the story as the inverse, where the brutal Rutherford sends his Orion slave girl~1~ to test the simulation, which is a low gravity battle situation. Combined with Tendi's talent, the brutality and immorality scares Badgey enough that when the safeties are off, he gives his father a choice: help him take down the empire or face death at his hands. Rutherford immediately goes in for the kill, and the chase begins.
In No Small Parts, Rutherford seemingly convinces Badgey that the Pakleds are the greater evil, but tries to destroy the Cerritos with the Pakled ship, leaving his father to watch. Rutherford tries to detonate the warp core, but Shaxs, really wanting to do it, throws Rutherford into space (where he is beamed away) and detonates the warp core.
Finally, in A Few Badgeys More, Rutherford starts by trying to appeal to Badgey's hatred, which splits off into Mad-gey. He then appeals to the personal benefits Badgey will get, who splits off into profit-ey and is killed by Badgey. Finally, Badgey ascends and has the painful epiphany of how little good there is in the universe. He decides he will destroy the universe and recreate one prime among all the others, but notes the end might not be immediately apparent due to time crap.
1: On another note, my story for mirror D'Vana Tendi is as follows.
The Orions had a strong democratic socialist tradition for a long time until the Terran Empire conquered them. The Alliance later freed them from Terran rule, but did not allow the Orions their governmental tradition. Thus, the Tendi family became the leader of a secret independence movement to return Orion to its former ideals. This resistance continued even after Orion fell back under Terran rule in 2379 as part of the Terran fleet resurgence of the past few years.
With the Tendi family, D'Vana was known as Liberator of the Winter Constellations and was supposed to bring the revolution to a new age. However, she was known to be selfish and impulsive.
This came to a head when the Orion Resistance was going to attempt a major operation in 2380. Feeling it was hopeless, D'Vana made a deal with a Terran agent to sell out her rebellion in return for riches.
Like a true Terran, though, the agent lied, and the ISS Cerritos, assigned there on second plunder, took her and much of the rebellion as slaves... dismally easily.
Her sister, D'Erika, however, escaped and pledged not just to continue the revolutionary cause as the new Liberator of the Winter Constellations, but to get revenge on her double-crossing sister.
Meanwhile on the Cerritos, D'Vana was distributed to Billups. However, Billups preferred to work on improving the destructiveness of the phasers or watch his underlings squeal in the agony booth, so he decided to let Rutherford do whatever the heck he wanted with her. Thus, technically, she is not Rutherford's slave, but Billups, but ends up being forced to spend most of her time on the ship with Rutherford.
I have a few questions on uniforms.
For one, I just find it a bit strange some of them are wearing ENT-era uniforms, especially considering the base was updated in the 2260s. Although the uniforms look slick, chronologically, it almost feels like a run down American naval wessel in the 1970s wearing revolutionary war uniforms. I wonder if this points to the ENT uniforms being used for a really long time (no, my time is not finally here) much like the TOS film uniforms, if at least as a starbase uniform. Thus, it was still perfectly normal to see an ENT uniform in the 2230s and 40s, and not all that uncommon in the early 2260s.
Now what really confuses me, though, is how the base says they don't have combadges, which conflicts with the previous depictions of base officers in LD:"Trusted Sources":
I at first thought that maybe they were just embroidered like TOS uniforms. However, someone on Memory Alpha also caught this frame of one of these same personnel in 5x05:
The badge is gone, which suggests they are removable. This implies two possibilities: they were aesthetic, non-functioning badges, or they were real combadges.
I wonder why they disappeared. One theory might be the station used to be able to support a few, but the system broke and the few combadges in circulation were retired.