You will be pleased to know that I am not a member of that school. Bad monetary policy can certainly make unemployment worse, so it follows that good monetary policy can make it better than it would otherwise have been. What is the best contribution that monetary policy can make to lowering unemployment?
My answer is that the best thing it can do in the long run is to provide the conditions which maximise the length of economic expansions. We do not want a seven or eight-year expansion followed by a serious recession as we have had in the past. The damage to unemployment occurs during recessions.