I just add on top. We need it - we live on a pile of rocks, literally rocks, like if I lever out a rock with the crowbar, another one pushes to the surface. I could scrape off the good stuff that decomposes, but then I’d be back to zero on trying to make a walkable path to where we don’t break our ankles or just fall over.
But if you don’t have my issues, it’s a great idea to shovel it up for the actual beds! Give it a couple years to break down, I’d think.