It *may* but I doubt it. Once you get up to 40,000 + Hz definatly, but at the freqs we listen too, I dont think so. I know I have never been able to hear anything. Many great tweeters have inbuilt grills. I wouldnt waste anytime worrying about it
The new formats like DVD A and sacd go to 100Khz and at those freqs grill cloth will effect output and so none of the super tweeters have grilles. This means double blind testing or even normal blind testing is very hard, as you cant hide the speakers behind grille cloth to keep them from being seen. Maybe a simple blind fold is the answer lol who knows
peace
Cyberpunky