CA Librarian is not zIIP enabled and does not offload any of the CA Librarian work from the general CPU processor to a zIIP processor. There are no plans to zIIP enable CA Librarian.
There are no plans to zIIP enable CA Librarian because I/O processing cannot be done from a Service Request Block (SRB) running on a zIIP processor and CA Librarian processing involves mostly I/O activity such as reading, adding, updating of members in CA Librarian Master files. The cost of creating the necessary control blocks and switching back and forth from the general CPU processor to the zIIP processor could actually degrade performance instead of improve performance and increase CPU overhead.
Release: LIB-AM00200-4.4-CA-Librarian-Access Method