I think the culture & environment of the child largely affect the child's attachment, not just exposure to the primary care giver. If a culture is known to be accepting and encouraging of a lot of interaction & care between the caregiver and the children, and that is a big part of the culture, then the children are going to grow up and be more open to having more relationships like that. However, if the society encourages a more divided line between the caregivers and the children, the children may grow up the same way. It is not solely based on the caregiver and the time he/she spends with the children.