It's unclear if Battler's perspective (observing both Kanon and Shannon together) is an accurate representation of what's going on as he isn't considered the detective at that current point. Ryukishi may have left that in as a trap to fool people from believing they were separate people, or as a trap in a trap to make them into a red-herring. Either way, it's possible to make a plausible theory in each case at the moment.
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