A little OT, but sometimes I think people are making arguments based too much on theoreticals and how western navies operate without fully considering the realities and likely operating areas where a PLAN task force might realistically engage in direct combat against a peer adversary.
Yes, 056As are not your classic modern blue water warship (although destroyers smaller were the workhorses of both the Atlantic and Pacific theatres during WWII), but where exactly does people think the PLAN would be fighting?
Probably for the next generation, the PLAN would not hold any delusions about their ability to go toe-to-toe with the USN far from home and win. Nor are there compelling reasons for China to go to war with America beyond its immediate home waters around Taiwan and the SCS.
It is because of these limited ambitions that the PLAN has chosen to make the 056A is primary ASW workhorse, and they will form the backbone of any PLAN fleets AWS surface element in any remotely realistic major conflict scenarios for the next two decades or more.
The lack of a full on hanger on the 056 would be an issue if they were meant to operate independently in an ASW role, but there would be only extremely unlikely and strategically irrelevant scenarios for that to happen. In most normal instances, they will operate as part of a much larger task group, and used as sonar screens as well as FOBs for ASW helicopters from the core fleet principle surface combatants. This intention can be easily seen from the large garage doors built into the aft superstructure, which would make perfect sense for refuelling and re-arming friendly ASW helicopters to extend both their operating range and endurance while minimising off-mission transit time to and from ships.
The existence of the huge 056A fleet could also be a reason why the PLAN is in no great hurry to retrofit all their 054A FFGs with the latest and greatest ASW hardware available.
When operating in such a role, it would make perfect sense for an 055 to act as the command ship for the 056A fleet elements due to its massive C&C capabilities.
The PLAN has a requirement to be capable of performing and concentrating robust multi-domain ASW capabilities in its peripheries, yes.
But that does not mean that they can let its blue water capable ships anything short of a robust and competitive organic ASW capability either.
There are indeed a large number of 056As -- 50 056As have been built before production ended for the PLAN.
However, the PLAN's fleet of blue water capable ships equipped with the same twin tail ASW suite (TAS+VDS) that has been put in the water is actually going to be greater in number than the 056As they've built.
Current blue water capable ships that include the TAS+VDS suite includes: 8x 055s, 25x 052Ds, 14x 054As -- 47 ships.
That doesn't include 2x recently launched new flight 054As for the PLAN, of 20 newly ordered 054As... nor does it include an order of 055s and 052Ds that we have heard rumours of, and whose further production is virtually guaranteed as part of the 14th five year plan.
And this doesn't include the 054B/next generation frigate either, which we expect to emerge in the near future, which will feature a towed ASW suite that is at least equal to that of 055/052D/054A hull 17 onwards/056A.
And we don't have any further rumours or indications of continued 056A production.
That is to say, the 056A is not the PLANs "primary ASW workhorse".
Rather, than 056A is the PLANs "primary short range, short endurance ASW workhorse". The 056As are incapable of operating beyond the first island chain, and are also incapable of operating at sea for long durations even within the first island chain.
However, the PLAN's blue water capable ships like 055, 052D, 054A (and future 054B), are not only blue water capable and able to operate outside the first island chain, but are also capable of operating within the first island chain for long durations -- much longer durations than the smaller 056A is, and these blue water capable ships are of course also multirole featuring much more powerful other sensors and weapons.
All of these ships, in their ASW role, are complementary to one another, and when operating closer to shore, they are also complementary with land based ASW capabilities (like fixed wing ASW MPAs).
Practically speaking, there's no reason why an 055 cannot act as overwatch for a surface action group of surface combatants that also include a large number of 056As.