My hallway is dirty. I am not a boarding stable and I don’t care. I have allergies and don’t want to breathe in that airborne crap. And I don’t want my horses breathing it in either. I always hated that layer of dust on my horse’s water when I boarded.
Someone I knew that had a high end stable with rubber pavers used a special barn vacuum cleaner. I do know it was rather expensive. If I HAD to keep the floor clean I would use something like that but I wouldn’t ask them to spend that kind of money. Maybe they can mist some water on the floor prior to blowing and that would keep the dust down, but that would make the blowing less effective.