As Winnicott defined the concept transitional objects are found/created by the infant, not given by the parent. eg a parent may give the infant a teddy but the infant picks the blanket or piece of cloth or something completely unexpected as the actual transitional object. It is whatever they invest with the symbolic functions that create for themselves a sense of relative safety and contact with the person who provides that holding environment. So while I accept that many therapists may provide such objects with the intention of it serving such a function I think they are rather misunderstanding the concept by thinking you can just give these things out.