We do it sometimes, if I'm feeling lazy, we do deep litter in the bantam run, and the other shed we wheel it out and dump it in low spots. In the run it adds organic matter into the soil, so it depends if it needs more added or not. And for some reason it becomes something to dig through even though it was just in the shed.
It's good to mix brown and green, so shavings get dump, a load of grass clippings get added, some fall leaves, some slabs of fresh hay, keeps everything fresh, chickens turn it into the soil, worms and bugs eat the poop, and help break down and compost stuff, raises the soil level, nice draining of rain, healthy run, not that packed down mud hole we used to have that would stink.