In every playthrough of the MQ I've done with Julian, she's kept true to herself and wore the Kvatch cuirass Matius gave her. So that's what shows up on the statue. I think it's a great way to commemorate the tragedy at Kvatch and the triumph at Bruma. The two Gates are logical bookends to the Main Quest, in my eyes.
As for my other characters, my Dunmer kept her leather throughout, my Nord wore steel plate, and my Imperial also wore the Kvatch cuirass, though not for the same reason as Julian. For her, it was a matter of having *ahem* less revealing mail.
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