Good question, but the truth is that I have not tested with dust in suspension.
I have tried to process images with haze caused by humidity, but not with the haze caused by dust in suspension, because where I live it is a rare meteorological phenomenon.
That said, I suppose that the result will depend on both the intensity of the haze and the light pollution in the place, because in the end they are two detrimental effects that add up.
As I say, I have tried it with haze and the results have always been much worse, since the haze adds to the light pollution (in my case quite a lot), so the Milky Way in the final photo was very little visible.