An outside force of magic flying space aliens fighting the Empire to a standstill at the cost of their own millennia old leaders body is probably the worst example you could come up with if you wanted to show that Alliance can successfully deal with airships on its own.
A: The alliance didn't do it.
B: It didn't push the Garleans back beyond where they started.
C: The cost was arguably just as high, if not higher, for the dragons.
Just to clarify, my criticism isn't that the Alliance can take out airships, it's that we're never shown, or even told, how we're doing it.
Air superiority is important, very important, and I want to know how we're handling that aspect of the war. I can fill in the gaps myself if I have to and come up with plausible enough explanations; dragonkiller support, dragoon boarding parties, rogues sabotaging them in dock, etc. but I consider it important enough that the story just kinda glossing over it annoys me.