I have been thinking this too. I am also trying to make a case for Type 022 to do this, and I am getting closer…
A great place to exercise the CGC/Type 022 is….. Kaliningrad. it’s got air cover and it literally borders Lithuania.
I don't think China does this, because now is the time to make the EU neutral.
022 is too small for traversing oceans, carrying enough food and fuel for the trip while carrying enough soldiers for boarding operations, helicopter for surveillance and rescue, and so on. This seems like a best job for the CGC's larger cutters, those over 4000 tons to 12,000 tons.
I foresee the CGC continuing to expand and becoming a large blue water force of its own. It often does jobs like patrolling and securing the safety of fishermen while hunting out illegal fishing. Another job is escorting oceanographic, science and survey vessels. Why not patrol for pirates around the African coast, the Indian Ocean, or take over Gulf of Aden escort missions?