There are many different schools of thought for bedding. I personally don't give any bedding for my baby quail (or any birds I've hatched) except the grippy kitchen shelf liner until they are at least a few days old, then I add shavings. Other people have used other flooring types for their brooders and it works for them.Just checked on my quail eggs in the hatcher and the first one has hatched!
ETA: Quick question, is it okay to use wood shavings in the brooder with the quail chicks, or is it recommended to use straw (like fresh flock bedding) like with pheasants?
if your shavings are pine shavings or at the very least not cedar, they should be fine. Bigger shavings are better than small shavings that the quail could try to eat.