It came very slowly for Kar.
Byul had always been pretty and adorable, a cute little thing. Something precious, but just as his twin was precious, and Lucy, and his parents. He had never thought of putting a hierarchy on who he considered as the most precious.
The most precious never occurred to him until he realized who his priority was in that trial he had to face in the Tower. Even back then, he still reasoned things with the fact that Byul was objectively the weakest, or that everyone else was strong enough to protect themselves.
But at the same time, he knew that his father would always prioritize saving them, his stronger, younger children. It had nothing to do with strength, even though he knew his father was a rational person. Then...wasn't it weird that Kar would immediately think of Byul instead of his family? It wasn't like Byul didn't have his own family--or an esper sister who would be more than willing to protect him.