RomanArmyTalk

NOTE: This is a reproduction, sold by the museum (assumingly) itself:



Hmmm.... Definitely not leather IMHO....

Bronze sculpture of Ares

Linen!?

As I also think was in use for them.

Well, the Etruscans got most of their equipment from the Greeks so I'd guess some sort of linothorax.
I don't know too much about Greek equipment, but I've read that this would/could have been made of linen/quilted fabrics.