As a measure of deterrence, carries with Hornets can be useful. They do make it more difficult and expensive for the Chinese to take Taiwan.

However, it's unrealistic for them to establish anything like air superiority over the Taiwan Straits. Each carrier has fewer than 100 aircraft, and only a couple can be deployed to the region at a time. The opposing PLAAF has over 2000 combat aircraft including hundreds of stealth planes.

For the US to be competitive such a contest they need planes that are qualitatively better than the Chinese ones by a huge margin. American advantages in stealth, missile range and avionics are essential just to stay in the game.