If a Chinese fleet is operating past the Second Island Chain in the Pacific Ocean, then land-based air support will be very limited.
In such a scenario:
1. Given the distances in the Pacific Ocean and lack of land bases, there aren't that many platforms to launch anti-ship missiles or drones. Even land-based aircraft will be rare.
2. So in order to achieve air superiority, I think it would mainly be aircraft carriers versus aircraft carriers. That means the winner has the ISR advantage whilst the loser doesn't.
3. For anti-ship missions, yes, I think the "best" solution would be an hypersonic ASBM launched from a VLS cell.
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Current CSG composition is more like 6 escorts for each carrier in the US Navy or Chinese Navy.
My guess is that it's better to build more carrier groups (and therefore gain air-superiority) over an opponent, rather than increase the number of escorts and the number of defensive SAMs. With that air superiority, there won't be incoming missiles or drones.
I don't think its possible to achieve air superiority over an area guarded by long range AD of destroyers such as SM-6 or HQ-9B. Yes, these missiles need some kind of air based radar/awacs to achieve their full potential. But These systems are of such long range, that within 2-300 KM of a Carrier strike group, No plane can come.
Moreover, these AD are so good that anything less than hypersonic anti-ship will probably be shot down. Plane based slow anti-ship missiles simply won't be able to get through.
So, you can forget about WW2 style scenario of Jet squadrons flying enmass launching bombs or slow missiles to sink ships.
The best way to hit the enemy carrier strike group is to fire ship based hypersonic missiles. Only ships can carry such big missiles.
Thus, carriers are absolutely essential but as a defensive ISR weapon. Planes have limit in terms of weight, so they won't be able to carry ultra long range and hypersonic anti-ship missile which limits their use in offense. They also have less usefulness in defense also, Cause Plane based air-to-air missiles are completely useless against Hypersonic missiles, so they are not of any help in fleet defense.
Any carrier strike group that has less destroyers will not be able to survive a hypersonic saturation strike. Interceptors will be depleated fast. That's why you need carrier strike groups with more destroyers per carrier rather than more strike groups.
Suppose a US nuclear carrier with 100 F/A-18 but 6 destroyers faces a Chinese Liaoning strike group with just 20 planes but 15 destroyers including 6 type 055?
Which one will win?
It will be the Chinese carrier group with mass YJ-21 and YJ-18 saturation ability. US carriers can launch their 100 F-18s but they can't get close due to HQ-9B. Their slow Harpoons are completely useless as well. So, the US carrier group has no way of attacking the Chinese group but the Chinese group can attack and defend well due to its destroyers. That's the key game changer in future wars.