The Ursa where deployed in small numbers and im sure it where reserved to special ops and/or veteran units.
About the Apollo, im sure there where a giant number of them remaining from the war and assigned to rookie pilots, same for the Athena.
The Medusa, Herc and Valkyrie where probably present since the last year of Vasudan war, just assigned to veterans as production picked up, i think the Ully came too late to do a great impact on the war, the Ursa came in time to destroy the Lucifer (it can be done with medusas btw), but other than that it does not have the numbers.
Apollo and Athena where the bulk of the GTA, thats for sure, followed by the Valkyrie, Medusa and Herc.
There is not much info on what the GTA did with the Athena units, but the Athena is better than the Herc in a few ways, and its the best ship for anti-bomber, anti-cruiser duty. Ill whould have re-classified it as a heavy fighter.
For the PVE the thing is, we dont have much information of the Great War on the Vasudan side other that they where getting their ass kicked by the HOL, with it does not make sence to me, and the Vasudans where primary dependant on fighters/bombers.