I'm not really sure whether it would or wouldn't cut it. How much of a difference is there between a low tonnage destroyer and a high tonnage frigate?
We can see Frigate designs comprising a smaller rotating radar, compared to 4 large, expensive AESA panels for destroyers.
That translates into Destroyers having significantly:
1. longer range radar detection
2. better detection of stealthy aircraft
3. larger numbers of targets tracked
And when you have this capability increase, it makes sense to have a larger VLS counts with longer-range SAMs as well.
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Remember in a carrier group, the job of an ASW Frigate/Destroyer is to physically block a submarine from approaching the carrier. That is inherently a risky role, so you want to use the smallest and most expendable ship possible. And when you use a smaller ship, it also becomes a much less attractive target, because a submarine has to reveal itself when it fires a torpedo.
Note that if a Chinese carrier group has to trade a Frigate for a Virginia SSN, that is so worth it as the SSN is ~10x more expensive than the Frigate. Plus the Frigate crew could abandon ship and be rescued.
The distinctions between the roles of ship classes have become pretty blurred, almost every modern ship functions as a destroyer-cruiser hybrid. And I'm not sure 45 ships really cuts it (obviously China is building more) either.
These resources are divided among the North fleet, East Fleet, and South Fleet, and while each doesn't get even priority, in an ideal world they should probably be somewhat close to the same size. If we disperse the number of ships evenly, this would mean that each sea fleet gets 15 Type-052C/D destroyers and 5 Type-055 destroyers. Now if China gets to a point where it has 6 carriers (2 for each fleet), that means that many of those ships will have to be dedicated to to the carriers if China wants to have groupings similar to USN CSGs. If we apply roughly the same ship distribution where the USN has 1 cruiser and 3-4 destroyers, this would mean that of each sea fleet's destroyers, 2 of the 5 type-055 would be dedicated to carrier groups and 6 of the 15 Type-052C/D. Each fleet having only 3 Type-055 and 9 Type-052C/D would be nowhere near enough.
I also don't think we should use current USN escort structures as the ideal. We can see they've been trying to build a replacement Destroyer/Cruiser (Zumwalt/DDGX) and failing, which means they are retiring ships faster than they can replace them. The Constellation Frigates have been cancelled and were supposed to be used in CSGs and be in addition to the Arleigh Burkes.
During the Cold War, US CVBGs were envisioned to comprise:
2x Cruisers (Ticonderoga) for close-in escort
2x ASW Destroyers (Spruance) for the middle-zone
2x Air-Defence destroyers (Arleigh Burke) as pickets
Some years ago, we saw modernships publish a Chinese CSG diagram comprising:
2x Type-055 for close-in escort
1x Type-052C/D plus 1x Frigate for the middle-zone
2x Type-052C/D plus 2x Frigates as pickets
That does still imply 3-4 medium destroyers per carrier group.
And with 6 carriers, that is only half of the available Type-052C/D built to date
Now obviously this is omitting the role of frigates, but in speaking more broadly to the fact that China will probably want a lot more ships, especially low to mid range destroyers.
We've now got a total of 14 Type-055 and 45 Type-052C/D so far.
I think we are nearing the end of Type-052C/D production, and these will remain in service as the low-tier Destroyer.
Then we have the Type-055 as the middle-tier Destroyer, where production continues.
But now, there is also a requirement for shipborne ballistic missile defence and offensive hypersonic missiles.
So there will be a new high-tier (Destroyer/Cruiser) for this.