Yes, I use a Double Bull and generally shoot through the netting. The only thing I don't like about shooting through the netting is that it makes distances difficult to judge - I usually think things are farther than they really are, and tend to shoot high - a good excuse I could use for shooting the one in the head!
I think when it's real brightoutside, unless the sun is shining in the blind, the netting isn't too important, as it's dark in the blind. When there's less light, I think the netting is more important. My opinion, anyway.