I'll reread the fight, but I'm almost sure that the only things she showed were their physical abilities, and honestly, just because Brunhild tried to kill Mikoto does not mean she was with everything, fight seriously and go all are things different, a very simple example, Touma vs Birdway, Birdway was serious enough against Touma, even threw out own pride, but at no time used the most powerful weapons in it (the major arcana).
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