It smells like the child

1. Does the highlighted "itself" refer to "the doll"?

2. Does "it smells like the child" mean "it starts to have a bad smell as children also start to smell bad when they do not clean themselves"?

Text:

However, parents will eventually insist that the infant makes judgements between what is clean and proper and what is dirty. The transitional object is ultimately relegated to what is morally perceived as dirty. Kelley is interested in how these codes of clean and proper bodies get projected onto the handmade toys that he used in this period in his work.
To parents, the doll represents a perfect picture of the child – it’s clean, it’s cuddly, it’s sexless, but as soon as the object is worn at all, it’s dysfunctional. It begins to take on characteristics of the child itself– it smells like the child and becomes torn and dirty like real things do. It then becomes a frightening object because it starts to represent the human in a real way and that’s when it’s taken from the child and thrown away.