My favorite thing about Yuki is just how alike he is to Kyo, despite the story trying to paint them as complete opposites.
For the longest time we're led to believe he's super privileged for being born as the Rat--which...is true, but also not at the same time. He ended up being just as ostracized as the Cat, Kyo, both Akito's doing.
The tradition for isolating the cat ran for generations yes, but after Akito's father passed and she snapped, that's where it went downhill for Yuki.
Convincing him that everyone hated him, isolating him, mentally abusing him for years. He reached out to Ayame once and was snubbed, his mother sold him for status(his father exists but he never hear anything about him), he went mute for a little while even, until he finally begged Shigure to take him away.
I was really happy when the remake included Yuki's full backstory, since a lot of anime-onlys were convinced Yuki was just an asshole, and the moment the episode came out, a vast majority of them changed their tune.
Kyo and Yuki are two sides of the same coin. Different but somehow the same circumstances.