I'm using the word "fantasy" in terms of "fictional," not something idealized or wished for.
Right. You're just trying to explore a hypothetical question as an intellectual exercise. We don't have to approve of a scenario in order to explore it; lots of fiction is dystopian.
The thing is, I don't think you can posit a version of
Star Trek where Lester was correct without ignoring other parts of TOS, let alone the rest of the franchise. After all, Number One was Pike's first officer. She was a command-track officer, which
has to mean she was eligible for command. Part of a first officer's job is to take over as commanding officer if something happens to the captain, so it is contradictory to say Number One could be first officer but not captain.
And any attempt to postulate a change between the time of "The Cage"/
Discovery and the time of "Turnabout" doesn't work, because Lester was talking about the status quo that existed when she and Kirk were together in the past, some years earlier, although it's not clear exactly how long ago it was. (I was thinking it was at the Academy, which would put it before DSC, but Lester only says "at Starfleet.")
I have no idea what "the bog is.
British slang for a lavatory.