No, you have, as you say, described 'Engine Limit' there. The QRH for that directs you to close the start lever if the engine does not behave. I'm not sure why Sciolistes leapt off down the 'engine limit, surge or stall' route. Nothing to do with 'Accessory Drive Failure'.
For the failure described by Tee Emm - 'run down' - it will direct you to close the start lever.