We wouldn't expect a 3-year-old to provide the correct answer, but we would expect a 30-year-old. This is a big hint that the brain does in fact collect and store information for later use. This would be analogous to filling in the books in the Chinese Room. If there hasn't been enough time for all the books to get filled in, we won't expect the room to give correct answers.
In addition, if someone has never heard of Lord of the Rings, we would not expect to get a correct answer either. That page of that book in the Room would be blank.
As for which concepts rest on which, we have to be careful, when discussing consciousness, not to mistake grammar for reality. There is no way in English to express the concept of an illusory "I" in the first person. That doesn't mean it is an impossible concept.