A CVN has two principal roles, for which it is ideally suited.
Power projection against a country which is not near-peer.
And, control of the blue water sea lanes.
In the event of a war at sea against the Chinese and over Taiwan, the CVNs will be between 500 and 1000 miles away.
This article shows a lot of dumbassery.
Ditto that, but at 1000 miles away the fighter jets would need refueling..