The Flight Guidance Computers are powered with DC off the applicable Main DC buses via feeder circuit breakers to the avionics circuit breaker panels. The FGCs also get fixed frequency 115VAC from the inverters in the nose compartment, which are running on 28vdc from the Essential and Main buses.
I can't say with 100% certainty, but it is almost certain that the FGC startup BITE depends on a stable voltage from the applicable DC bus, or possibly the TRUs can be affected by input voltage transients that can affect the 400 Hz 115VAC voltage output to the FGC.
So, running the starter/generator on the other engine in starter mode will cause voltage transients from the current load of the starter/generator, and that can mess up the FGC BITE, so they want you to wait for its BITE to complete before the running engine's starter/generator is loaded up by the opposite starter/generator.
Unfeathering brings the gas generator speed, and hence the accessory gearbox speed, up to ground idle, where it can adequately support the opposite starter/generator with current.