You can use the 88-89 non-turbo ecu, or an 84-87 turbo ecu.... but, as the first few posts of this thread state, the 88-89 uses a different O2 sensor than the 280ZXT & 84-87 Z31's, and some wires are different. I assume it's not discussed in this thread, because the focus of this thread is the 1984 Z31T ecu swap.
I imagine the car either wouldn't start, or would idle very poorly if you still use the 81 CAS.
This JWT page explains a lot: http://www.jimwolftechnology.com/wolfpdf/280%20Z31%20450HP%20UPGRADE.PDF
I don't have the turbo & na ecu part#s handy, but a quick search on google might help. Or check out AZ-ZBUM's web page: http://www.az-zbum.com/faqs.shtml#basic