The Chinese are decades away from deploying multiple CBGs. Yes it will happen but by the time they've sorted the logistics, the operational,skills and the development of a corps of competent frontline pilots and aviation specialists who train and rotate, mid century will be well upon us.
The handwringing needs to be tempered with the realisation the carrier ops take generations to gain proficiency. Let's assume that the new PLA N carriers deploy with 30 aircraft and say 50 pilots, six carriers need 300 pilots and twice that in the train and sustain production line. These don't appear in tens of years, these build over scores of years.
The Russians have been in this game since the early Moskvas and YAKs in the late 60s, early 70s and they still haven't cracked it not that I'm suggesting that the Chinese will follow that example but the fact remains it's hard and only a few western nations have achieved success and none anywhere near the combat effectiveness of the USN.
The PLA N will grow to be a highly effective and competent force But the USNs superiority in power projection through their CBGs will remain and be an effective counter to Chinese expansionism for a generation or more