Hell no. For reasons others have already articulated. The main one being that she's the
star of the show. She's meant to have focus and qualities which some might find exceptional. But the DSC writers have also given her some pretty obvious flaws and had characters close to her call her out on them.
I do want to elaborate on one thing, however, and that is I find the writing in that scene between Spock and Michael really outstanding in terms of highlighting the issues they have with each other. But I people who are inclined to'crackerize' (see the eating crackers meme) Michael seem to view it as a great chance to "take her down a peg", give her a "verbal smackdown", "put her in her place" and other such sentiments. These commenters might even call her "uppity". You can see where I am going with this. But it does the scene a disservice because Spock is correctly pointing out that she's taking all the guilt and blame upon herself. Self flagellating. Yes, it's a form of self-importance which can be irritating, but it's reflected inwards, focused on her past failures. She thinks she has to shoulder the burdens alone, and to fix things by herself, because she thinks SHE made the mistakes which led to those bad situations in the first place. Therefore she is constantly seeking atonement, rushing to solve every problem alone in order to avoid facing her grief, her loss and the fact that sometimes events will be out of her control. This is the opposite of an arrogant, narcissistic person (which many like to claim she is).
I wonder if those same people who dislike Michael so intensely also hate Sisko's entire character arc, which is about letting go of the past and accepting his role as Emissary. The Chosen One. Space Jesus.