No issue with what you're saying but I will say that Burnham does have some fatal flaws that are throughout the show and not past things she's overcoming.

1. As you mentioned, hubris. Throughout the entirety of the series she thought she knew what was best or had to shoulder every single responsibility single handedly. Spock openly mocked her for it in front of other crewmen during Season 2 and other crew constantly kept saying that she does it or doesn't need to.

2. She's hypocritical as hell but that seems to be a thread through most Starfleet officers. Hypocrisy when it serves you. Look at the Prime Directive for every ounce of proof you'd ever need for any other Captain and hypocrisy but she does it pretty regularly too. Again something Spock pointed out in Season 2.

3. She's hot-headedly emotional because she was a human raised as a Vulcan. She suppressed the everlovingfuck out of her emotions and by the time she was embracing her human side and starting to cope with those emotions she was already well into adulthood. A significant crux of the show is that Burnham has trouble regulating emotion because its new to her. People point this out as a complaint saying she "cries too much" but her character is literally someone who feels things more overwhelmingly because she was never raised to cope. Every season is her overcoming that little by little with Season 4 being all of that coming to a head. Her listening to Rillak and trying to do everything she could that she felt was right while also not doing the stupid shit like abandoning Starfleet to go save Book without asking for permission that would have been granted or freaking out over her biological mother and letting those emotions cloud so much of Season 2.