As a test, I just went over to my 1991 Loyale wagon (SPFI- FWD) . When the front [closest to battery] GREEN fusible link is unplugged, the ECU does not operate at all. FWIW, the radio still works as do the headlights and everything else. It even cranks over. A peculiar behavior is that [when that 1st GREEN link is unplugged] the IAC makes a chattering sound that then goes away when GREEN link re-connected.
Anyway, for the 1991 model Loyale, that 1st GREEN fusible link transfers the power to the ECU.