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How plausible would it have been for the Hepthalites or White Huns to have conquered the Iranian plateau and the surrounding areas and set up their own (longer-lasting?) state in a situation similar to the Ilkhantate?

Would they have become Persianised? (Is that even a word?) Would they adopt Zoroastrianism?

I confess I don't know much about the Hepthalites. What was the relationship between them and the Sassanids? Was it similar to that of the WRE and the Hunnic Empire under Atilla?
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