Konan was stoic, calm, and level-headed (much like her partner, Nagato, was). As a child, she was bright, compassionate, and relatively cheerful, in comparison to Yahiko's tough attitude and Nagato's sensitivity. However, the traumatic events since then have led her to become a very serious person.

I think I understand why she likes Konan so much, it reads very much like I think she would be.