In fiction events and situations tend to be connected to the main character usually for increased dramatic results. Burnham is our main character, the drama revolves around her arc. It makes more sense for the evil emperor to be her beloved captain and mother figure than some random guy with a goatee. It’s not realistic, but it’s called fiction for a reason.
Does it make sense that Spider-Man’s arch nemesis is his best friend’s father? Or that of all the people in the galaxy, the guy who blew up the Death Star is the son of Darth Vader, who happens to rescue his twin sister after meeting his dad’s old droids and the mentor who failed his father? Or how No, but that makes the story more interesting for the audience. Ever notice how the Enterprise was always the only ship in the area when trouble brewed? It was coincidental, it’s because it would be boring if they were just scanning rocks all day. You want to see things happen with personal stakes connected to the characters. These aren’t valid complaints, it’s nitpicking how basic storytelling works.
Does it make sense that Spider-Man’s arch nemesis is his best friend’s father? Or that of all the people in the galaxy, the guy who blew up the Death Star is the son of Darth Vader, who happens to rescue his twin sister after meeting his dad’s old droids and the mentor who failed his father? Or how No, but that makes the story more interesting for the audience. Ever notice how the Enterprise was always the only ship in the area when trouble brewed? It was coincidental, it’s because it would be boring if they were just scanning rocks all day. You want to see things happen with personal stakes connected to the characters. These aren’t valid complaints, it’s nitpicking how basic storytelling works.