Totally off-topic, but:
That's actually the only thing I really like about Burnhams connection to Sarek and Spock.
Don't get me wrong: I friggin' HATE that relationship being shoved in our faces. IMO Burnham would have been a much, much more interesting and stronger character if she were allowed to stand on her own, instead of being defined by her daddy-figure and her big brother.
That being said, I like how they handled the Burnham-Sarek-(Spock?) relationship so far. "Lethe" was probably the only episode of DIS season 1 I liked - but I really liked it.
It's kind of both sad and ironic, that Spock is pretty obvious Sareks "favourite" child - but also the one he lost his connection with. And that he set out to make things better with Burnham, actually opening more up to her and being more of a father figure. But at the same time being utterly incapable of re-connecting with Spock, and at the same time hurting Burnham as well, because even though he gives his best he can't hide he favours Spock - their seperation maybe even re-enforcing that imbalance. That's actually a realistic depiction of a family with issues, without overdoing it or being too rose-tinted. That felt very... real. And personal. Which is good.