The issue with Haqua being Keima's partner isn't that she's smart, it's that she's proud and therefore doesn't trust Keima as much as Elsie does, especially when they disagree. The second time around she had an idea of Keima's abilities and they worked together much better, but her lack of faith in Keima's decision making got her into trouble.
Elsie is much more willing to accept that Keima's methods work, so even though she complains a little, she implicitly trusts him to work everything out in his own way. That's why they work better together.
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