The wings are a two-sided symbolism. Just like Ultimecia's castle. This castle is a representation of Artemisia's castle that was created in memory of Mausolus.

In real life, Artemisia did exist a long time ago (in Greek times).
In history, there are two different Artemisias (Artemisia I of Caria and Artemisia II of Caria). I believe that Ultimecia is the representation of Artemisia II. From now on, I'm declaring Artemisia II as Artemisia.

Artemisia was a daughter of Hecatomnus.
King Mausolus (the ruler of Caria) was a son of Hecatomnus too.
At one point, Artemisia married Mausolus. They very much loved each other. Just like Squall and Rinoa.

Artemisia had an extraordinary grief (very very very very upset and angry) at the death of her husband Mausolus (he died young) and she went into despair. In FFVIII, Ultimecia also was in despair (crazy).
After his death, Artemisia drank Mausolus's ashes, all in proving herself that she survived Mausolus, similar to FFVIII, Squall almost died (revived by Rinoa, basically she survived him too).
Artemisia has built the tomb (Mausoleum of Maussollos) to honour Mausolus. Similar to Ultimecia's castle (assuming Squall died after the game) and it has a lion statue (a representation of great strength and pride). The Ultimecia castle may don't look exactly the same as the Artemisia's tomb but the notions are the same. If this is false, why do you think Ultimecia made her own castle?
Since Mausolus's death, Artemisia gained powers off him and she basically wanted to rule. Similar to FFVIII, Ultimecia (inside Edea) implied that she wanted to rule (becoming the reign).

This VIII game has a lot of symbolisms just like the other FF games.