That is definitely true...but the SSKs will only go so far, and they are principally defensive in nature in the littoral waters particularly.
For Blue Water operations for any of their surface groups, the PLAN DDGs, FFGs, LPDs, CVs and other vessels are going to have to depend on ASW capabilities of their own to fend off other nation's subs.
Having good ASW helos on these vessels will go a long way if they have powerful dipping sonars, good passive detections equipment, and powerful weapons to launch at any enemies they find. For those surface ships to venture very far away from their own littoral waters if there is any potential for conflict (and that is why they are called "war" ships), then their own ASW capabilites are going to be a must, otherwise other nation's submarines will have a hay day wth them.
Having numerous, modern, and very quiet and effective SSNs would also help a lot...but they will also need their own ASW capabilites.