Speaker grill cloths have always been a controversial subject. In theory, if a cloth cover is part of the design then it should be baked into the voicing. But if someone removes the grill cloth and likes the sound better, it supports the theory that speakers always sound better without the grill cloth.
Your post about grill cloth reminded me of some measurements posted by Steve Bolser on the DIY Audio Forum on the effects of dust covers and grill cloth on ESLs. In the post linked below; the words "dust cover" refer to the thin Mylar membrane dust barrier that Quad ESL used on their ESL 57 and ESL 63 panels.
Here's the link to that DIY Audio Forum post: https://www.diyaudio.com/community/threads/all-acoustat-panels-can-give.282031/#post-4551994
Sometime after this post, [mathematician/aerospace engineer] Steve Bolser and [physicist] Dr. Rod White co-authored a technical paper on the effects of dust covers and grills on ESLs, including the effects of various absorptive materials used to dampen the diaphragm resonance on full-range ESLs. This paper modeled various configurations mathematically, and also measured the same configurations to validate the modeling.... a very scholarly work!
I'm kicking my senile self here because I can't remember where I read that technical paper or where to find it.