mini-WI: Phidias' statue of Athena survives

So on my recent trip to Greece, I learned of this massive bronze statue of the goddess Athena sculpted by Phidias and originally placed in front of the Parthenon.

Sometime in the 5th century, it was moved to the Hippodrome in Constantinople.

During the 4th crusade, it was destroyed by a mob who thought that "the outstretched hand of the goddess beckoned the enemy".

Suppose that doesn't happen, and the statue survives the sacking of Athens and is then confiscated by the Venetians, like the "Horses of Saint Mark" and shipped off to Venice.

Effects?
 
It's rebranded as an image of an obscure female saint then quietly forgotten until the 20th C when it's revealed to originally be of Athena?
 
So on my recent trip to Greece, I learned of this massive bronze statue of the goddess Athena sculpted by Phidias and originally placed in front of the Parthenon.

Sometime in the 5th century, it was moved to the Hippodrome in Constantinople.

During the 4th crusade, it was destroyed by a mob who thought that "the outstretched hand of the goddess beckoned the enemy".

Suppose that doesn't happen, and the statue survives the sacking of Athens and is then confiscated by the Venetians, like the "Horses of Saint Mark" and shipped off to Venice.

Effects?

The horses have become quite iconic, so maybe Athena becomes so too - perhaps in place of the Venus de Milo?
 
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