Most parents recognize a need to control certain aspects of a child's behavior. A child needs boundaries and needs to know what they are. The concept of child-led weaning is sometime seen as an abandonment of parental control. As an adult the mother or father consider himself or herself most qualified to make a decision about weaning. Child-led weaning is recognition of the elegance and beauty of God's creation.
Every little person is different.
It is not as much giving babies what they want as it is giving them what they instinctively or spiritually know they need. They know when they are done, and no, they wont be breastfeeding when they are 19. Be prepared to receive helpful advice about the harmful effects of normal breastfeeding from friends, relatives, or total strangers. Be confident that they are ignorant of scientific conclusion and spiritual confirmation. Many are trying to resolve their own intrinsic remorse for formula use by advocating their mistake.