Because he still thinks the Traveler is our salvation. Osiris was exiled for learning the answers to these questions, ones the Speaker deems heretical and dangerous
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Ok then why does he bring up this forbidden knowledge unprompted?
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The questions/things the Speaker says in his cutscene are not those questions that Osiris has asked. He probably doesn't think you really need to know them. You just have to fight
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Yes as a player I just need to mindlessly fire my gun fúck actual lore eh?