"Some sort of concern" I think isn't the right way of describing it, because virtually all platforms at any stage of their life cycle has "some kind of concern".
A newly developed platform is either too new/unproven in terms of subsystems/hull.... whereas a more mature platform is either lacking in growth capacity or using older technologies/subsystems.
In terms of the PLAN's current ongoing procurement, I think it is too easy to lose the forest for the trees.
That is to say, it is very easy to look at the 054A restarts, prospective 052D production, and newer ships like 055s, and think about the various "compromises" or "immaturities" that they have against a specific sort of weapons system that might be more well adapted to them.
Given the procurement volumes, I don't see much financial penalty either from lulls and restarts.
If they were only buying a few ships, then yes.
And if the shipyards were solely dependent on military orders, then yes again.
But this is not the case.
The next batch looks like:
8 Type-055 Large Destroyers
20 Type-052D Destroyers
20 Type-054A Frigates
1+ Type-054B Frigates
Plus you've got Type-054 Frigates for Export and also for the Chinese Coast Guard
So we're looking at over 50 Destroyers and Frigates in the next 5 years.
In comparison, even the US Navy only has a combined total of 105 Cruisers, Destroyers and Frigates.