The EGPWS used on the Airbus aircraft I fly incorporates system logic that is designed to minimize nuisance Mode 4B warnings during aircraft overflights. Without going into too much detail, the system looks at aircraft speed, configuration, and the rate of change of the radio altitude. You could still get a warning if your overflight involved an aircraft that was less than 800 feet below you.
This same system incorporates additional logic to minimize nuisance Mode 2 warnings due to loss of radio altitude tracking, which sometimes occurs during departures and arrivals in heavy rain.
Years ago, on aircraft with the first generation GPWS, nuisance warnings were commonplace. The latest generation systems generate very few nuisance warning of any kind. Thanks to the EGPWS, there have been a substantial number of documented saves. The engineers involved with the design of the EGPWS have my deepest respect.
I apologize for the thread creep.
Best regards,
The Kid