The FSM shows the same wiring harness connectors and pinout for the NSS and tranny solenoid connectors on passenger side of the firewall. Based on that I'm 80% cetain the wiring harness on the 93 donor will plug right in and you don't need to mess with changing the TCU. If they don't mate up, use the NSS from the 87 and drop the pan to swap the solenoid wiring harness over (or cut & splice).
The 93 and 87 TCU are virtually identical with the exception of the diagnostic wiring being odb-I instead of a serial connection to the big yellow plug under the passenger side of the hood. The TCU connector may have changed with the switch to odb-I from the renix setup too. The 87 TCU should work just fine with the 93 AW4. You'll only have an issue if you try to use a tranny newer than 96 as there were some sensor changes.
The only other change on the AW4 between those years aside from spline count, is the 4th gear ratio changed slightly from 0.79 to 0.75 (in 1991?). The TCU won't care, but you might notice the 4->3 downshift is about 100 rpm off from before.