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Haruhi goes by KaZuki when sleeping around and outright says, I think in the last two chapters, that he was using that name to defile himself and his brother. But his brothers name is KaTSuki...
Katsuki and Kazuki are definitely not the same name, and they never refer to the brother as Kazuki. Nor so Haruhi's sex partners ever use Katsuki, so it's not a mistranslation as far as I can tell.
Is this a lost in translation thing where if I understood the original Japanese itd be like a same Kanji, different pronunciation deal?