Air Zimbabwe 767 Engine Surge, Tailpipe Flames, Mayday... Continues to Destination

I'd say the answer is a qualified "yes" but you missed a step.

There's probably an EGT threshold above which the engine must be shut down. In that case you'd of course (in this aircraft) be flying single-engine which probably would mandate landing.

There's a gray area I can picture: if the engine is damaged such that at a normal power setting the EGT is too high, but the EGT can be brought within limits by reducing the power. I'm not sure whether there's any specific guidance on whether to continue or terminate a flight in those circumstances. It seems like termination would be the safe choice, as if the engine is damaged, there may be things going on that that could cause it to fail completely later on.a

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