Huh... every chicken poops wherever it is sleeping except broody's in my experience. If you don't have dropping board, that's the floor with a lot of dark winter hours coming before long.
DL will work best if it is open to the ground than on top of sealed floor is my understanding. I have mold issues here... and don't do full on DL here. The people who do it toss something in to get their birds to turn it for them. The stuff in my run... is more like the forest floor than anything else. Yes it has shaving, pine needles, grass clipping, hay, dry leaves and so on... making something soft and absorbent yet well drained and not muddy, and not too compacted has worked out much better... for ME.
Plenty of people don't agree with me about the kitty litter statement. That's why it's great that we can share out experiences.
But really, where does the moisture go that is in the sand left behind when scooping? Oh, and lots of things will have impact on which method you use. My stock load is fairly heavy, I think topping out at 82 when I was using sand. I know they do use in zoo's sometimes but it didn't work well for me. Honestly over sand I would use rice hulls! Much more renewable and compostable, lighter to move, doesn't just make your dirt heavy like the sand did for me. I like the rice hulls in my small pre fab coops a lot actually.
It may be a bit of trial and error to find out what works for you. Sometimes our needs change, and we might find ourselves trying another method. I use different things for different coops in different locations. And I like having the (washed river) sand around to be used as grit. But I had it had it brought in by the truck load and it was a lot of work to move. And now it's basically a nice draining base for other stuff or grit. The main reason I didn't leave it alone in the floor of coop that doesn't see many droppings since they only come in to roost (above boards) or lay... is sand is too hard a landing for my heavier birds (for MY comfort 4.5-5 ft) and I can't afford to face bumble foot, injured legs, bruised breasts, body checked eggs and such. More birds you have, more things you see... especially if you process them.