Yes, I'm aware of that.
I have also seen results from other tests that showed no audible effect.
To wit...
1. I have never noticed a difference in my own listening experiences;
2. When I sat as a listening panel member at NRC (Floyd Toole's studies) in the early 90's I recall asking whether the "blind" test results were affected by the speaker cloth material that prevented us from seeing the array of speakers in front of us and was told that it was truly acoustically-transparent and had no effect; and
3. One of my favourite audio writers / researchers was physicist Richard C Heyser. I have in front of me a copy of his May 1983
Audio review of the Koss CM/1030 speaker. On p.79 in the "Use and Listening Tests" section he stated that "Removing the grille had no noticeable effect on the sound."
I own six pairs of those speakers. I agree completely with his observation. There is nothing special about the speaker cloth used back then: it's simply a good quality cloth available on any speaker today. I can understand how in some cases people might want to remove the grilles for esthetic reasons. I can also understand that in some cases the frame (not cloth) of the grilles might lead to audible changes (ie. sound diffraction) if it is close to the drivers and/or badly designed. However in the big Koss, there is considerable distance between the tweeters and the edge of the cabinets. By the same token, putting speaker cloth across a diffuser will almost certainly have no effect. The amount of acoustic energy (and hence possible effect) with a tweeter placed but an inch or three in front of the cloth is orders of magnitude higher that the amount of energy passing through cloth in front of reflectors placed within a listening environment. If there is no noticeable effect in the case of the former (see 3 above) there is a hundred times less none in the case of the latter - even if it is passing through twice.
If you have personal experience similar to the above that would call this into question, please feel free to share it.
I'm all ears!
Jeff Mackwood
B. Eng. (Mech)