Originally Posted by Sir Bahamut
Yes, I am quite aware(probably more so than you) of all the theories and subtle facts and hints.
However, I am also aware of all the unexplained things/events which Square left in, things and events which we will never know the truth of.
And in this case, I think the GF belonged to the latter category.
I mean, it's not like us knowing if that GF was say Toonberry, would affect the plot in any way. It wouldn't benefit us in any way. It would just be some irrelevant additional information, and personally, I think when Square put in subtle hints, they do so because of something significant.