My grandma didn't like my sisters and me much at all. She was cold and distant. Since we've gotten older we've discovered that we all knew what her attitude was and knew it wasn't "normal". Others in my life were warm, loving and accepting, so her distance really stood out in comparison to them (and she was the only living grandparent, so it wasn't a matter of comparing her to a loving grandparent).
I would have preferred it if she stayed away than the forced, uncomfortable relationship we had. It just made me question what I was doing that made me unlovable and no child should have those thoughts.