The Panopticon/Romana III and Tre

Tre is a Matrix projection of a future incarnation of Romana that assists Romana II in Gallifrey VI. While she isn't stated to be Romana III specifically in narrative, she is called "Romana III" in the behind the scenes audio ("Tre" is a name she uses to distinguish between herself and her previous incarnation). Juliet Landau's appearance on the covers also matches Romana III's description in the EDAs (straight, long, dark hair with a fringe). She also actually has green eyes like the EDA Romana III on the cover of Luna Romana. Would this be enough to consider Tre and Romana III to be the same incarnation?