I agree about throttle full open ...get into perfect place for autorotation and shut down engine is probably safer than risking overspeeding NR .
An autorotation is exactly the same with or without engine TC and don't try and say otherwise ! There is no connect between engine and drive . I think you are confusing EOL which is specifically referring to the bit at the bottom when you hit terra firma and autorotation which is purely the function of the relative airspeed driving the blades . ( you are so keen to pick us all up on not knowing the difference between VRS , IVRS,
LTE & LTA etc I thought you would appreciate being corrected!!)
The big difference without an engine is in your head when you know you have no room for error at the bottom !!