I would suspect that the confusion/delay/whatever effect of similar song intros would only occur if someone else played a song in an effort to trigger Doug. We don't usually see it "on camera", as when Doug uses a song, he knows which one he's playing, which would give his subconscious a "leg up" in terms of knowing which song it is.
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"You know how parents tell you everything's going to fine, but you know they're lying to make you feel better? Everything's going to be fine." - The Doctor
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"You know how parents tell you everything's going to fine, but you know they're lying to make you feel better? Everything's going to be fine." - The Doctor