They're not asking it if it notices anything about the output string. The idea is to inject the concept at an intensity where it's present but doesn't screw with the model's output distribution (i.e in the ALL CAPS example, the model doesn't start writing every word in ALL CAPS, so it can't just deduce the answer from the output).
The deduction is important distinction here. If the output is poisoned first, then anyone can deduce the right answer without special knowledge of Claude's internal state.