They can't openly contest the USN (not on open water) but the USN also has additional obligations so they aren't facing the entirety of it, kinda like a reverse Russia-Ukraine situation.
It would be interesting to see if the PLAAF can utilize the advantage of having land based airbases to push the CTF to near maximum range on it's F-35s after (assumedly) yeeting any jets+AAA in Taiwan via ASBS or AShMs, I think if they can do that then the USN is going to have serious trouble since a CTF has been the backbone of the USN since WWII.
Regardless, lots of missile lobbing is my guess, much more than Russia-Ukraine. Like we're talking the entire CSG-5 + Squadron 15 launching all their VLS tubes in a single engagement, every engagement tier.