bro the whole span of the Pacific , Yes you're correct BUT China will be fighting in the Taiwan proper even in the second Island chain. Carriers is a must IF you're a hegemonic power, in China current situation surrounded or cage within the Second Island Chain, you need an invisible weapon to fight back, an asymmetric warfare. Bro I'm an amateur so I hope you have the patience, as @Intrepid had mentioned I think China should take a page from Admiral Gorskov, with a lot of submarine operating in the Pacific hindering supplies line and taking valuable assets away from an American CSG, making the American think twice. Right now the Chinese was forced to react and the reaction is good from the strategic POV as they look to Eurasia and Russia to circumvent its vulnerability. Tactically as we discuss priority, My opinion Carriers is becoming obsolete with the onset of Hypersonic weapons, unless the Chinese want to replace the US as a Hegemon.
Gorshkovs' "Maritime power of the state" is indeed an absolute must-read - it belongs to core books on the subject of maritime strategy, and
especially - maritime strategy of a continental power.
But, we shall note, that the Soviet navy - Gorshkovs' navy basically - continuously moved in the direction of a balanced, sea superiority fleet with carriers. Theater-level missile salvoes and submarines are an attractive start and they bring results fast - but in the end they can bring you only so far.
Due to internal Soviet politics(carriers were stigmatized as a symbol of imperialism) what the Soviet navy could say and what it actually was doing had to be different.
Furthermore, it also shall be noted, that Russia(Soviet Union) is kinda self-sufficient from resources perspective: maritime trade is nice for it, but it is not existential; thus Russia/Soviet Union can grudgingly see sea denial as a reasonable fallback option. Russia can geographically resort to
attack - which is a
defensive maritime strategy.
China, dependent on sea lines of communications for its prosperity, dependent on incoming resources, dependent for its very connectivity(coastal traffic), and dependent on it for basic food security of a significant part of its population - has no such fallback.
Modern China since at least the mid-2000s does the same: to fight at sea, you must be able to contest the sea superiority. If you can contest sea superiority in the patch of Indo-Pacific surrounding China - well, you already have the force that can do the same over the globe.
It will still lack basing(though, as we may note, China has started addressing it in advance) - but for a blue-water navy, it's a natural development.
It's just the way world ocean works - there is no way around it. There is no way around the fact, that in modern political climate China needs a world-class ocean-going navy, there is no way around the fact that such a navy is inherently globally-capable (even if you limit yourself), there is no way around the fact that it will be seen as such(potentially globally capable - i.e. an existential threat) by existing dominant maritime power.
Such a navy by nature needs to be balanced - as only such summ of capabilities brings maximum warfighting, intervention and protection capability.
And balanced navy unavoidably has a very high ratio of carrier ships - a bottom-heavy structure isn't any more balanced than a top-heavy one.
Moreover - it's ultimately carriers that decide how many independent, high-intensity warfare-capable & survivable task forces a nation can deploy in the first place. And they're the hardest and the longest capability to add - you won't be able to bring them when you'll feel the need to. Especially not CATOBARs with their complex operations, which form basically a form of art of true maritime powers.