Thank you.
You hit the nail on the head. And that's a problem. For all her past and her accomplishments. Michael Burnham somehow manages to resist being interesting the way ship hulls are designed to shrug off rust and barnacles. She's a good character but she doesn't (to me, subjectively) make me wonder more about her. I'm not even entirely sure why. SMG does a fine job acting. She handles the physical roles like fighting and space scenes as good as anyone ever has (except Michelle Yeoh because we're talking about Michelle Yeoh) She's got some major gravitas. And she's come alive more in character with her interactions with Spock, but there's just this feeling. I dont know. Maybe if there was a little less of her she's be more mysterious. I know more about Michael Burnham in 16 episodes than I did Kirk or Spock up through movie 6. I hate to use Doctor Who analogies but she is very much the Clara Oswald problem: overly important, overused and so constantly "on" you never get much opportunity to just enjoy the character.
I think one reason people errant declare her to be wooden or unnatural because she bores them. She's not at all wooden. And her human-raise-by-Vulcan characterization is very natural, if that can be used in this guise. It probably doesn't help that she's in every scene but often not integral to it, and therefore is constantly upstaged by characters (Lorca, Pike, Saru, both Georgiou's) that often are more compelling and interesting.
The sermonizing hasn't helped though that MAY be dying down. It seems like they intend her to be our window into the era of Discover but that role is handled at least as well by Tilly, when they don't overdo her, and Tyler, when they competently use him, and now Culber as well (Discovery has made great casting choices but I think Cruz is going to be one of those remarkable choices they really lucked out on, especially)
I do feel like SMG and, oddly, her character is picked on unfairly, and I am not alone in that. People step up to defend Burnham at the drop of a hat on this forum, myself included, as if their sister were being bullied. I like Burnham, but after a long period of time to think about it, she's not the lead, if the show ever had one. It's not what her role should be for. I think they'll sort out what to do with a problem like Michael by season 3.