In general, I agree with you, auto shutdown of an engine by a computer is not a good thing.
Focusing only on the #2 engine (the one that failed), it was operating in auto-thrust mode. The EEC apparently detected a un-commanded reduction in N2% and immediately called for increased fuel flow thereby increasing the N3% eventually to 98% before reducing fuel flow. By then, it was too late to prevent the eventual disintegration of the IPT disc due to overspeed.
IMO, I suspect the EEC was reprogrammed to view reduced N2% and the start of increased N3% as a problem and the need to reduce fuel flow, not increase it. This may have saved the day, possibly. However, reducing fuel flow is not an auto shutdown, the decision to shutdown the engine is and should be the flight crew's decision.