I disagree with the first quote in the question.
Who isn't used to ask for a living being, it is used to ask for a person.
- A living person is a person. "Who is the current president of the United States?"
- A dead person is a person. "Who was the first president of the United States?"
- An organization consists of people and might sometimes be considered a person in the legal sense, but not in a grammatical sense. "Which company made your car?"
- An animal is a living being, but it is not a person. "Which horse do you want to ride on?".
- But an animal can be persons when they are anthropomorised to a degree that they gain human-like personality traits. "Who is your favorite My Little Pony?"
- An inanimate object isn't a person. "Which one is your car?"
- But just like an animal, an object can be anthropomorised to a degree that it can be considered a person. "Who is the main character of the animated movie Cars?"
So when the wooden puppet in your story has a human-like personality, thinks like a person, acts like a person and interacts with other people like a person, then it is a person and you can ask for it using who.