Can´t explain it better than Tim, but I´ll try anyway
As Tim said the higher downforce a wing/car produce, more dependant the car is to aero, so it will be more sensitive to wind gusts
Imagine some extreme example, a street car wich does not produce any downforce is not any sensitive to wind gusts because since it doesn´t produce downforce wind will never change grip. Well it will be disturbed because wind will literally push the car due to the box shape most cars have wich is anything but aerodynamic, but won´t change grip
OTOH a F1 car wich produce big amounts of downforce will be disturbed because with aerodynamics it´s not speed what matters, but aerdynamic speed. This means with no wind ground speed and aerodynamic speed are the same, but then a wind gust from the rear will suddenly reduce aerodinamic speed even if ground speed is the same, so downforce will be reduced too. If it was a plane, it would be stalling and falling down, since it´s a F1 car grip will be reduced and depending on the amount it could cause a slide/oversteer/understeer depending on the exact situation
So if you want F1 cars to resist wind gusts aero should be reduced so they´re not as dependant to their aerodynamic speed as they are now. That´s the reason they´re constantly reported about wind speed and direction, with front wind they can brake a bit later than usually due to the increased aerodynamic speed/downforce, while they must be carefull if the wind comes from the tail because the reduced airspeed/downforce will reduce grip/braking power and they´ll end up on the gravel if they don´t brake a bit sooner