On the topic of criss cut paper in the nesting or bedding: We tried it in just the bedding first, it did not do great with deep litter. It just never really dried out and the chickens did not care for it as much as pine wood chips and dirt.
As for the boxes, it would stick to the eggs while the bloom was still wet and even after washing the eggs any ink would still be there if the wet bloom happened to land on a printed shred of paper. It got to the point that I was sick of paper bits on the eggs and all paper was moved to just the bedding. Still it would stick to the feet and end up in the box and back on the eggs. Dh and I decided against using paper in bedding or boxes. We get tree trimmings instead for free. Takes time to spread them out and move them around the run / coop. Still I was spending time each day shredding paper for the chickens. Now it is Dh that moves the pine chips where they need to go.
As for the boxes, it would stick to the eggs while the bloom was still wet and even after washing the eggs any ink would still be there if the wet bloom happened to land on a printed shred of paper. It got to the point that I was sick of paper bits on the eggs and all paper was moved to just the bedding. Still it would stick to the feet and end up in the box and back on the eggs. Dh and I decided against using paper in bedding or boxes. We get tree trimmings instead for free. Takes time to spread them out and move them around the run / coop. Still I was spending time each day shredding paper for the chickens. Now it is Dh that moves the pine chips where they need to go.