If shoot thru mesh affected shots we only ever kill feild turkey's. Shot a few with brush and stuff in between me and the bird. Mesh won't bother it. The warning is due to fire hazard from the muzzle blast like was mentioned.
I think when it's a slam dunk guys miss more. Turkeys at 15 yds and no idea you there and we get complacent on technique. I had it happen to me yesterday. Put a gobbler in a guy's lap at 15 yds. We were both smilin as he strutted up right in fornt of the gun barrel. I know the guy was admiring the bird and not aiming. Sometimes your cookin' the turkey fingers too soon

It happens....