Hiya Snickers
I can see why you are interested in the shut down..or not..of a gas turbine engine. There have been two recent incidents where a gas turbine was uncontrollable. One was the incident with the Rolls Royce A388 T972 engine and another was on the BP oil drilling rig in the gulf of mexico.
In both these events the engines could not be shut down.
Now as far as the critical phase of take off is concerned in a jet 'plane the best man to ask on this forum is TURBINE D.