Actually, Curren killing Hayate at all by that point would've likely wiped out the Esquad Huckebein (and Stella and Fortis as well). The iceberg had already been formed and was suspended in the air, and the only thing holding it up was Hayate's magic.
If Hayate had been killed immediately, it would've been dropped because she can no longer hold it. So instead Curren wounded her and basically used Hayate's desire to live to make her back down on the iceberg. If Hayate hadn't and had been killed, that iceberg probably would've fallen anyway.
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