I wonder sometimes how much these descriptions can be trusted . It would be interesting to know how they come up with these conclusions.
Typically the gods and other mythological characters have set attributes, so they're clearly identifiable. That's why a statue can be identified if they only have one hand, etc. If that hand is holding an item clearly connected to one character.. That's it. Apollo is associated with lyre, so maybe that's why he's being identified here. I'm not sure if Cassandra's attributes off hand.