Guess I just didn't buy what was shown. Overall, I felt the characterization, especially of Burnham, was very poor and aimless in DSC. I got the impression the authors had no idea what Burnham was supposed to be, hero or antihero, self-righteous self-absorbed egotist or responsible leader, Mary Sue or unstable crybaby. It really appeared totally random to me.
And I don't remember having seen anything from Georgiou that would make up for her being a genocidal Kelpian-eating tyrant, much like Khan or Dukat -- certainly nothing that would explain why the crew mourned her going, after she had constantly insulted everybody on top of being a mass murderer.