The main point of having a detection and alerting system is to improve the level of safety above that based on unaided human performance (thus EGPWS, ACAS, Windshear).
Pilots who believe that they know better - ‘its false warning’, are deluding themselves and depriving the industry of its improved safety record for these type of accidents.
‘False’ is like ‘error’ it can only be determined after the event, which is based on outcome. All alerts and warnings should be considered real and acted on.
The safety statistics indicate that modern technology has far superior performance - error rate / false warning, than the human for those specific tasks.
The analysis of an encounter - Captains in Command, #19, compares that event with the FAAs training model #4 (fig 2, and 3), which was derived from the DFW accident. Although event severity is normally associated with big storms, this is not always correct.