The quote:
"The EGT was observed to be rising for both engines indicating relight. Engine 1’s core
deceleration stopped, reversed and started to progress to recovery. Engine 2 was able to
relight but could not arrest core speed deceleration and re-introduced fuel repeatedly to
increase core speed acceleration and recovery."
The second engine had slowed down too much, it wasn't just behind. There's a chance it wouldn't have recovered properly, and would have needed higher airspeed (or the other engine's generators back online to produce enough voltage/current for a proper start). Anyway, I think we'll end up going around in circles here. While there could be some merit in the fuel cutoffs being ignored for the first 1000ft of a climb incase of a pilot deciding on a murder/suicide, it still seems like a naff idea to make the fuel cutoff a software switch.
Yeah I agree, I think we are both essentially saying the same thing.