In my opinion, some Gods in the different pantheons have taken on aspects even as concepts not necessarily with specific names. This idea of identification I personally think is not too accurate often. It is not simply different names of the same God.
But it is just how the people in question know and interpret the teachings that that God embodies to make that virtue understood allegorically. Surya (Azazel) literally means "Sun" and is a name (mantra) that holds powers of purification, etc. It is not just "a disguise of Azazel for India". But it is just my personal way I see it.