As we rebel against beauty, the issue of "design" comes in: not design as composition, but design as - I'm sorry! - a judgement call.
My senior art project in college was my hand-built coil ceramics that were totally non-functional, but meangingful - like a sculpture - and completely unique, but the only hint of beauty I could ascribe to them was an earthy but sparkly glaze that a fellow student-gal kindly lent me. I applied it in a couple different hues, to all the pieces. "Rule-wise" there was no glaze required, but something within judged the whole design as insignificant, if it didn't have at least an attempt at beauty.
That's a judgement call, and that's where the Da-Da ists made their departure. They moved into left brain. They made left-brain choices that became so extreme that they could declare that "extremity" is art, that contrast is art, that anything displayed could be art. But I say:
No design. No beauty.