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In the first place there is absolutely no Lambdadelta in Higurashi. Sure her name means 34, but the same is true for Sayo. Her personality and character are also completely different, if anything she resembles Satoko a lot more than Takano.
The candy theme that distinguish both her outfit and her magical attacks are absolutely absent in Higurashi. In addition her alleged Higurashi counterpart never was stated to be a witch nor she wanted to be one.
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I'm not sure that's really evidence against anything, since Lambdadelta likes to lend her power to unrelated individuals without taking an avatar, such as with Beatrice herself.
One could argue that her contractors have 34-pun names, in which case Sayo counts by virtue of being Yasu.
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For what concerns Bernkastel the similaraties are more striking and the name is straightforward, however why did she mysteriously lose the "Frederica" part? And in addition she gained a cat tail that was never mentioned before. And in EP8 you can't even count the times when they said she is a cat. Why would EP8 stress so much that Bernkastel is a cat?
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Shroedinger's Cat symbolism all up ins.
Also, Beings With Many Names gain and lose them all the time. Maybe the 'Frederica' part represents her Furude Rika aspect, which she surrenders when they part ways after Higurashi Rei?