Itsuki Koizumi is arguably the most esoteric and mysterious of the SOS Brigade members, with Yuki Nagato being his principle competitor in those two areas. However, from a fan's perspective, there's far more novel focus on Nagato than there is on Koizumi, hence making him a bit more of a blank slate to me than Nagato is.
In some ways, I believe that Koizumi is meant to be the cheerful optimistic foil to Kyon's often exasperated pessimism and snark.
Also, I typically view Koizumi as the "coolest" of the canon male cast, and hence I tend to like him a fair bit.
That being said, he does strike me as the SOS Brigade member that's the most submissive towards Haruhi.
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