I mean, the only person for whom the praise didn't really make sense in the mega-clip was MU Sarek. Which was admittedly the most jarring one. The others had plausible connections to her. I just didn't really think that so many were needed.
Sarek - Adoptive father. Somehow, seems to have warmer feelings for her all the way through than he ever showed to Spock (yes, Lethe explains this, but still).
Captain Georgiou - Commanding officer. For some odd reason, ends up a substitute mother to Burnham, teaching her how to be "human" (why couldn't Amanda do this???)
Saru - Starts out disliking her due to what happened with Georgiou. Burnham earns respect over time (this is a good character arc!)
Tilly - Becomes besties with Micheal and looks up to her due to her experience. I don't mind this relationship.
Ash - Falls in love with Micheal. On paper, this worked out well (lovers do compliment each other), but in practice on screen, they had no chemistry. It's not a writing issue though.
Lorca - Has tremendous respect for her from day one. It turns out he also is secretly in love with her. IMHO this wasn't needed from a narrative arc perspective.
MU Georgiou - Was literally the adoptive mother of MU Micheal, thus both feel a strange sort of attachment to one another.
Basically everyone in the plot - other than Stamets the spore guy, and some bit players like L'Rell, Cornwell, and Culber - are defined primarily by their relationship with Micheal. Now, in certain kinds of stories, this is entirely normal. But given Discovery also had ambitions of telling an epic story about the Klingon War, it just felt odd that the main cast was in so many ways primarily defined through their interactions with one character.