They probably wouldn’t use a carrier directly against Taiwan. No need to, as you said.
What they’d use it for is to draw off our carrier(s). The first order of business for our carriers is going to be to locate and destroy theirs. They manage to sortie their carrier to sea and make it hard for us to find, it completely changes how we’ll respond.
Heck, just think if they were to use it in a feint against Guam? Or Australia? Or India, Indonesia, or the Philippines? Use it as bait for our carriers, to either pull them off task or even into an SSGN or bomber launched anti ship missile trap?
You can bet that the ChiComs have looked closely at how the Brits freaked out over the ancient Argentine carrier during the Falklands, and extrapolated it into ways of using it to gain various (and largely psychological) advantages over us.
Just as one example, btw.
If so, then they really do not understand our system or tactics.
There is not a ship they have we are not tracking with a sub. Only one carrier, one quick sub strike and it is out.
Any feint they would do would be quick and done, without budging our carriers one inch.