Brandon,
Are you asking whether a screen surface behind your speakers (front wall) has an effect, or are you asking if you play speakers THROUGH an acoustically transparent screen does the screen add any sonic issues? I guess both.
I can only speak to the first: Yes! I added a light poly/cotton black drape, well pleated, to my front wall, to both hide the screen when not in use, and to tame the screen's obvious reflectivity in my room. I chose a light poly pleat to add diffusion, not absorption (like some heavy velvet movie drapes, etc.). The drapes closed has a huge effect on my sound; much better imaging and depth of stage. Much. YMMV. Closed drape on my system pic and gallery below..