Read the trivia point. It's not that they merely have parallels, it's that they have three distinct connections to each other. Maria uses lines that the Master of the Court used (and in regards to your example, Michaela and Allen's phrase was a set of arc words, but Court's phrases are not), she considers herself a doll, and in Gammon's dream Master of the Court goes by the name Madam Merry-Go-Round.

No, I don't think she's a Miku necessarily, but it's not some wild assumption that they might be the same character somehow, with the series the way it is.

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