The 056A FFL differs from the 056 FFL being that she is an upgrade step-up from its predecessor in the domain of ASW.
Besides, the oldest 056A is not even 10 years old, while the newest 056A entered active PLAN service just 3 years ago. Hence there is neither the reason to retire nor transfer them to the CCG.
However, given by Yankee's notion that the 054A FFGs will be slated to join the 056As in the PLAN's offshore/green-water fleet, I do envision that they will stick within and around the vicinity of the 1IC by acting as:
1. Offshore anti-air defense batteries,
2. Support/conduct anti-submarine and anti-seabed warfare, and/or
3. Radar-&-sensor pickets + intelligence gathering.
Meanwhile, 054B FFGs will join the 052C/D DDGs, 055 DDGs and CVs by operating as ASW-cum-AAW escorts for PLAN CBGs and SAGs in the "true blue" WestPac.
Though, until the 054Bs are entering PLAN service en masse, we should still see 054As sailing in the "true blue" WestPac for quite some time.