Never mind the fuel, the costs to build ONE airship would equal 100 B-2 Spirits at best. Building an entire fleet would send the global economy into the worst recession in history.
LONG STORY SHORT:
This is Ace Combat after all: nations of the early 21st century already have access to village-sized railguns, mass-production laser technology & airships that fly disregarding the laws of physics. Even Strangereal's Haiti can have a flying carrier whenever they wish.
yea but a fleet of them?

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