Not so very long ago I overrode the GPWS and maintained altitude. With the copilot's protestations ringing in one ear, and the famous "Shuddup Gringo" ringing in the other, I made what I still believe was the right decision.
It was my call, and not the computerized calculation of a black box, that kept that aircraft from climbing into an almost contiguous string of inbounds...with not the slightest hope of getting a word into the saturated APP frequency.
Command has to come from humans or black boxes, not an amalgam of the two.