I found her behavior to be very logical - it was 100% based on the vulcan experience with the Klingons. That the only respect-building they know was brute force. Shoot first and don't ask. The problem is that her captain thought it 100% based on her hatred of the Klingons for killing her parents. Hence she did what she did in order to follow the diplomatic guidelines from Sarek (shoot first, and shoot hard).
except it was entirely NOT logical-the Vulcan experience required multiple such 'greetings' to have any effect whatsoever. In the immediate situation she was in, she acted impulsively and irrationally from the start, with only the thinnest (micron thin) excuse of the Vulcan lesson-a lesson she didn't have the luxury of using several to several dozen to several hundred ships to establish over a period of time that a VULCAN (300+year lifespan) would term "Eventually".
Further, as a supposed expert Xenologist, with a bad experience regarding Klingons in her past, she didn't bother to
ask before then how the Vulcans got them to stop shooting? really?? it wasn't covered in her education or her tutelage under Sarek? she never bothered raise the question before?? and she's supposed to be this expert Xeno-anthropologist on a ship that's running near the Klingon border for the last
Seven years????
and is she supposed t be over 100 years old?? how could she be a sole survivor when it's stated the Klingons haven't been raiding across the border or talking to anyone for a bloody
century???Further, her behaviour isn't logical because:
1. backup was inbound but hours out
2. the Klingons didn't immediately attack, htey were already behaving 'strangely', making the Vulcan lesson questionable at best as a precedent.
3. she acted on emotion when she chose to start a shouting match with her commanding officer on the bridge.
4. she acted purely on emotion when she 'nerve pinched' her CO. (paradoxically, when Bones was walking around with Spock's Katra, he couldn't make it work, but Burnham could...hmmm.)
5. The LOGICAL course, before committing to an act of mutiny, is to wait for backup, because you know you've got it coming. Observe, and Report, because if they're changing their tactics, known tactics
likely won't work. (case in point: Georgiua gives in to her and doesn't toss her in the brig, ass-over-teakettle and swallow the key-what Burnham did, would pretty much put anyone who isn't in a badly written marysue role under constant armed guard with the codes and accesses changed. It's a frikking act of
Mutiny.)
Burnham acted both unreasonably, and illogically from about the moment she woke up-and that's not including her actions PRIOR to meeting her first live klingon since childhood. Logically, when the mission says "Flyby" and "19 minutes before the radiation damage can't be fixed" you don't linger after discovering your comms don't work. It's a LONG walk to shelter when can't call a cab. (this is FAR different from continuing a surface mission with no comms on a class-M or other inhabitable planet. she doesn't have that excuse.)
Furthermore, she's doing this act of mutiny against someone who's already, on screen, demonstrated superior situational and tactical awareness (the whole planet-desert thing) as well as superior grasp of resourceful problem solving. It is NOT logical to usurp someone who's not only your legal superior, legitimate superior, but also intellectual superior in a stress situation.
she
did this.
want one more? Radiation. She's contaminated, and not finished cleaning the contamination out or off, when she barrels up, in person, to the bridge while there's a perfectly serviceable intercom right on the wall of the sickbay, so that she wouldn't be contaminating every deck-plate and passer-by she encountered on her way up there.
My point is, in all of her on-screen actions, when she's not being illogical, she's being outright
stupid.
and by 'stupid' I mean Porn-starlet-scream-queen stupid.