I bought a blind this fall with the mesh..
I am a fanatic about anything that alters my arrow so much a 1/4 inch for any reason..
I tried the mesh screens and the bolt passed through flawlessly, did not affect POI at any range from 20 to40 yards with practice tips or broad heads.
Don't give it a second thought, hard to imagine, but absolutely zero effect.

I have not tried mechanical broad heads yet, and may never, but my comment doesn't include those..