Presumably, they would say that a universe created and sustained by a deity would not have such a degree of suffering, which appears to be apportioned randomly, irrespective of dessert, nor would it exhibit so much apparent bad design.
I can see that being an issue for a benevolent God but then it is an issue for both sides since benevolence has to be defined on both sides as has degree and indeed suffer.
But supernatural presence? Does the supernatural need to be benevolent?
Does a creator have to be benevolent......whatever that is.....is he bound not to give the universe the ability of trial and error while maintaining it?
Indeed there is something supernatural about even the most natural of universes either it is the great unmade or it poofed itself out of nowhere.