At least in the Boeing there is a bulletin that explains under what conditions you may have a false alert, and it warns you to take into consideration other factors such as pilot reports, surrounding weather, and trends in wind and aircraft speed.
Not only Boeing but also Airbus.
From Airbus FCTM:
Note:
When a predictive windshear@ aural alert (“WINDSHEAR AHEAD" or "GO AROUND WINDSHEAR AHEAD") is triggered, the flight crew must carefully check that there is no hazard. If this is the case, the flight crew can disregard the alert, as long as both the following apply:
- There are no other signs of possible windshear conditions
- The reactive windshear system is operational.
Known cases of spurious predictive windshear@ alerts were reported at some airports either during takeoff or landing, due to the specific obstacle environment.
However, the flight crew must always rely on all reactive windshear (i.e.
WINDSHEAR) alerts.