I have no clue what Searle would say, and my degree is in physics not philosophy. But my best guess is that it's probably a borderline case? The person inside the Chinese room still of course has access to qualia, and those qualia do line up in a one-to-one way with the outside world: this suggests clearly "not a p-zombie." But it does seem that in an important sense they're not the right qualia; to use that language, "there's something that it feels like to talk about a waterfall, and the person in the Chinese room does not feel that when they talk about a waterfall."

If you want to up the geekery factor to eleven, you could probably think of the Chinese room as a sort of homomorphic encryption.