I think Wesley cared for her. At first it was just because she was in Fred's body, but in the end, he became some sort of mentor to her, while she became, in a strange way, a support system for him.
As for the others, I never got the impression that she was truly part of the group. I think some liked her, like Spike, but from what I remember, for the most part "managing" sounds about right. Had the show progressed to a s6 though, I think maybe she would have had a bigger role within the group.