SE admitted they're still trying to find out what to do with the Grand Companies (which is why we haven't gotten new rank promotions yet), so I doubt that very much. Also Nestama is correct that Gyr Abania (the region where Ala Mhigo is), is closer physically to the Black Shroud than Coerthas (remember, Ala Mhigo actually invaded the Black Shroud a century before in the Autumn War, because Gridania was their nearest neighbour).

Plus, there are two currently blocked off paths in the East Shroud that both head in an easterly direction - one in Larkscall that passes groups of Garlean soldiers (thus this one might run to Castrum Oriens), and the other is in the Sylphlands that heads in a northeasterly direction past Goldleaf Dias, which I believe is probably the more likely of the two to head to Ala Mhigo (given Gyr Abania is in the north eastern most point of Aldenard). But I guess we'll find out.