It's been many moons & cuba libres ago, but I vaguely remember something in smaller members of the RB211 family about selecting the fuel cutoff to idle to re-set the logic in the control of the variable stator guide vanes. This then helped with better airflow for the restart. It might have had something to do with them being set for a high RPM at failure time and you trying to start them at a lower RPM.
There will be more up to date boffins than I to tell more.