Problem with seeing a massive PLAN CSG force is that you're assuming carriers matter. China has more or less solved the USN carrier problem through a combination of ground-based aviation, anti-carrier cruise missiles, and anti-ship ballistic missiles. It stands to reason that if the US had a similar issue with PLAN CSGs, the US could just clone Chinese capabilities and toss a similar suite at PLAN CSGs from the Second Island Chain. If you're assuming USN CSGs aren't survivable, then PLAN CSGs aren't survivable either.
On the other hand, even if we're moving toward a post-carrier conception of naval warfare, carriers STILL remain useful for certain tasks. For instance, carriers are the best aircraft to launch AEW&C to provide better radar coverage for a naval task force. Carriers, as large, bulk warships are ideally suited for providing logistics support to amphibious forces, as well as air support for amphibious landings.
The assumption is that carriers will still matter.
I expect the future air-naval-missile conops of both the US military and PLA to basically involve long range fires against land and naval targets with the requisite ISR to support them, however to achieve that ISR at extended ranges requires organic ability to at least contest air power at those regions to allow your aerial ISR to deploy their sustainably.
What carriers enable -- in addition to fixed wing AEW&C -- is the ability to host an organic forward deployed CAP capability to extend your effective bubble CAP, but more importantly is its ability to deploy large numbers of ISR and strike aircraft (most likely to be flying wing UAV/UCAVs in the coming decade) to supplement the hunt for opposing naval formations (in addition to land based aerial ISR, in addition to submarines, in addition to OTH radar, and in addition to space based systems).
The actual prosecution of the opfor will be done through a combination of long range land based fires and of course organic CSG/SAG/submarine fires in a coordinated fashion -- but first you need the ability to find the enemy, which requires forward deployed CAP and forward deployed ISR.
That is to say -- I expect both USN and PLAN carrier groups of the post 2030 era to have vulnerabilities to each side at the system-of-system level, but there will also be things that cannot be done without carriers.
Carriers will not "lack survivability" -- if you have the adequate systems at the task force level and more importantly at the strategic/theater level to protect and support them, they will still be essential in doing things that cannot be done by any other system of that era (unless a survivable space based real time and persistent maritime surveillance emerges, but even then that is less of a replacement than a supplement)
In talking with folks on F-16.net, it seems clear to me that the obvious use of PLAN CSGs isn't to contest the USN, although that's one use, but rather, the CSGs provide offensive firepower in the South China Sea, threatening all ASEAN countries and deterring them from getting involved in a US-led containment web. In a parity fight, the PLAN has too few CSGs to seriously contest the USN. But the USN has never faced a parity opponent either, and the Chinese likely intend it for similar purposes as the USN, which is to say, it's for threatening and bullying weaker forces.
And Type 004 is still considered to be a Nimitz / Ford equivalent, isn't it? In which case, with 4 Type 004s, you could see around 180-240 J-XYs built for it.
If the goal was to project power or fight an air-naval conflict with an SEA nation, a carrier fleet is overkill and unnecessary. PLA land based air and strike power and existing surface naval forces are already extensive enough to deter them.
That said, people on F-16.net may also have different visions for what kind of carrier force the PLAN wants or needs, and their track record on PLA strategic intent isn't great either.
There is a reason why I've been stating a 10-12 CATOBAR force post 2040s -- because I think the PLAN will want to achieve their goal of qualitative parity with regional quantitative superiority vis a vis what the US could deploy to the region.
As for 004/eventual PLAN CVN -- even assuming four 004s, the first 004 likely would not enter service until the early 2030s at the earliest, and by the time four 004s enter service it'll probably be after the mid 2030s.
Once you're past 2030, would you really need a CATOBAR's total airwing to include 45 to 60 manned combat aircraft like J-XY given the maturity that UCAVs will have by then?
Probably no more than 30 would be necessary by that time.
One other thing to be pointed out is that the PLAN might not evolve to use carriers in the same way as the USN. We have the Type 076 LHD, which seems to be evolving to become a drone carrier. With the USN, the supercarriers carry strike aircraft which are not fully oriented to the air defense mission, as the Su-33 and Soviet carriers were (aircraft carrying heavy cruiser). With the PLAN, what we might see is that the strike or attack mission gets offloaded to LHD UCAVs, since strike is a known and mature UCAV mission, while the Chinese supercarriers are tasked to air superiority missions instead, in support of a fleet that considers itself, not the carrier, the primary striking arm.
While the US is addicted to using carriers to decide naval battles, if you look it up, an F-35's strike package per pound is between 6 and 8 times as expensive as the loadouts on an Arleigh Burke. With advancing naval weapons technology (lasers, railguns), it's possible that by the time China masters supercarrier technology, the carrier would become obsolete as a decider of sea battles and is relegated instead into a supporting role.
I think what is more likely is that PLAN CATOBARs and 076s will both carry UCAVs.
The sortie rate generation that a CATOBAR can generate overall will still be far greater than that of an 076, not to mention the airwing size/tonnage.
Putting it another way, I wouldn't be surprised if the CATOBAR airwing from the mid/late 2030s have fixed wing combat airwings composed 2/3rds by UCAVs/UAVs with only 1/3rd being manned combat aircraft.