I well remember the night of V1 cut after V1 cut in the 737 sim when the instructor asked us, "got the hang of it then?" and on receiving our cocky assurances set us up one last exercise.
The beefer chopped one engine as soon as they had reached t/o N1 at perhaps 40Kts. The resulting excursion was astonishing. As was the following one. It took IMMEDIATE and EXTREME control inputs to control the swing.
By FAR the hardest EFATO drill on the 737 (and A320) is the low-speed failure with full power when no rudder authority is available to help keeping it straight. Partly because we tend to practice it less I suppose, after all, a low speed asymmetric event can't be a big deal, can it? Hell no!
The excursion of this event looks to me as if a low speed full power failure was not properly contained.