Yes, but, the Axe Valkyries swoop down to attack, and both of them stop flying and basically stand still for some time to give you a chance to attack them, because they need to recharge energy to fly
Viewing post in Just some ideas :)
I imagine every 2 swoops or 2 arrows fired, so you don't have to wait ages for just a few seconds of attack chance, also, if you damage their wings different effects would happen:
1 wing: It would fly lower, slower, and would fall down randomly
2 wings: Basically becomes a MK2 level robot with a different color (And weapon for the battleaxers)