Hi, I am by no means an expert but I think that wood shavings are gonna fall through the wire eventually. I have pine shavings on the floor of my coop, which has a congoleum covered plywood floor. In time the girls scratch around the shavings until they eventually turn into sawdust. It will fall through your wire or cake up and be a pain to clean. the whole idea of the deep litter method is to keep building up layers to help absord poop and moisture. Then ya clean it all out and start over. Some BYC ers only do it yearly. I'm still waiting to see how long we will go, but to date is working fine so far. I just don't think it will work on wire. My opinion only, maybe someone who has tried it will answer your ?. good luck,
Erik