Osiris studied the Vex not the Hive. (:
EDIT: You said he was obsessed with the Hive, but that was Toland. Osiris was obsessed with the Vex.
English
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Hive first, then Vex.
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Osiris was the one who knew about the Shrine of Oryx, though... I think he dabbled in just about everything, haha.
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Probably.