Mathers Wales
If you tell passengers on the aircraft that it is windy and you cannot land, there are always people think in the back who think that is for an entirely different reason. If you do make an approch there may be a small gap in the gusts and wind speed to make it all the way down. At least the passengers know that you have tried and failed whilst being thrown about in the back and that they then will be happier to land at an alternative airport.
Never was it a safety issue, that is why we have decision heights in aircraft