Nah. PLAN fears the Virginia class submarines, which by the way there is already nearly 20 of them, way more than the Burkes, which is why it shifted all 056 production to the 056A ASW variant, and every 054A ship from the second batch on had better ASW capability. S. Korea adding Type 214s, Japan adding Soryus, both countries looking for their respective next generation SSK. Taiwan is working on a new SSK project. Every country in the SEA from Singapore to Indonesia to the Philippines are procuring new submarine or has serious plans to. In the meantime we don't hear much about PLAN submarine progress, although a picture of Type 039B, the Yuans with the curved sail, pop up here and there. So until PLAN is able to counter with the mass production of a new generation of submarines both AIP and nuclear, the other best counter is a large fleet of ASW surface vessels, frigates and corvettes.
Just to give you an idea, each Type 056A corvette has the same sonars, hull, TAS and VDS, along with torpedoes, as a 052D or 055. Likewise, each 054A has the same sonar sets as the other three ships.