They can be called more modern because they have been designed after the US counterparts but it's hard to say they are more capable, let alone significantly so. Both 052 and 055 hold fewer VLS than respective counterparts for one thing. PLAN would benefit from fielding better SAMs for its destroyers. Ideally also more models and variants for layered defences. HHQ9 and 16s don't seem to be able to match specs of SM-2 and ESSMs. PLAN currently also don't have a fielded SM-3 equivalent. New missiles will be a great addition to the rest of 055's modern gear. Surprised we haven't seen tests for new SAMs for both PLAN and PLA. Although it has to be said, HQ-9 and radars have been constantly upgraded and improved. Perhaps PLAN is focusing more on submarines and anti-sub. They could be happy with SAM performance for now.
All fair points, but there are some crucial facts that are often overlooked. For example, yes, Chinese DDGs have fewer cells, but the Chinese VLS cells are much larger than the American Mark 41. The 9m CUVLS has almost 3 times the volume of the longest 7.7m Mk 41, allowing for much heavier missiles to equipped. All the more impressive considering that the 055 has 112 of them.
The PLAN is also more or less the only navy in the world that has a supersonic, VLS-launched AShM, the YJ-18A, until the USN rolls out the VLS-launched variant of the LRASM, which is still a couple of years away.
This isn't even considering the dual-band AESA radars on the 052Cs, 052Ds, and 055s, which allows them to pick up on and target hundreds of targets simultaneously if they work as advertised. The USN only has one sensor suite with similar capabilities - the Ford's DBR - which is now a cancelled program because even the USN deemed it 'overkill', and too expensive. Only the AB Flight III's SPY-6 will be
It is true though, that Chinese SAMs are somewhat lackluster - or at the least, yet unproven. The PLAN is probably hard-pressed to develop short and medium-range missiles that can quad-packed or dual-packed, which would free up a lot of missile capacity for other munitions. Also, as you've mentioned, the 055 doesn't have a SM-3 equivalent.
I wouldn't necessarily say 052Ds are significantly more capable than Burkes especially Flt II and certainly the Flt III ones. LOL. I would say at best they are atpar. I would say they are likely of lesser capability than the Burkes Flt IIAs.
Yes, no, maybe. Unless we get our hands on the design's exact specifications, we won't know for sure.
However, it is undeniable that the 052Ds are superior to the Burke Flight IIAs in most regards, especially when it comes to anti-surface firepower, point-defense, and sensor suite. Where the 052D lags behind is in air defense and and ABM capabilities.
By the time the Flight IIIs come out, who knows? Maybe the 052D will have received a Chinese SM-3 and quad-packed SAMs by then, which would put them squarely above the Burke IIAs.