lj101,
You are correct in what you write. This is where having an aircraft carrier is an advantage. There are many other situations where having an aircraft carrier would also be advantadgeous.
The High Heed Yuns may not wish to deploy the aircraft carrier as often as they should due to the additional operating costs. Availability of carrier protection vessels may also be an issue due to the lack of ships and boats. If the carrier is not deployed for sufficient training, due to a lack of funds, vessels or what eve,r then there may be increased risks.