I am sure they do work but not by the method stated or to the extent. They are very shallow, not too offensive looking and easy to install so people like them.
As far as I can see there are no measurements backing up the claims. I did see a post that referred to a patent application... I think ? that stated a range somewhere around 250 to 1500 Hz which is
very good for the depth so it may well be they have generated a reflection pattern that causes primarily sideways reflection or cancellation or fuzzed it up in some clever way that makes it appear deeper to the sound hitting it so good on them. There are well known ways to do these things.
I think it is the marketing blurb that everyone objects to - it would not be the first product in audio that makes very complicated claims about a new breakthrough that dramatically overstates the case but then show no measurements to back it up. Unlike other areas such as cables this is easily measurable.
I don't think you would get so much eyerolling if you just said you really liked how they worked and avoided repeating the manufacturers claims.
My view on this subject is that "room treatments" are not how we should think about the room, rather it should be acoustic design of the room where all the sound issues likely to arise are considered and dealt with with the minimum of devices that are optimal for the purpose .... this can include furniture, artwork (mount off wall and locate acoustic blanket behind), drapes etc
Banquette seating can become a bass trap, peter A's timber louvres used as diffusers - it goes on and on - if you think about what you are trying to solve use a functional piece of furniture to do the job and where that cant be done you move into the dedicated panels that are specifically designed for the issue identified - it always pains me to see panels all over the place like they were vomited into the room
My own belief is that if you have a calm elegant room that follows these principles you achieve a visually calm and acoustical logical space that enhances your appreciation of the music - its like the visual and aural flow are in balance and you relax more and focus on music... but of course I might be dreaming
I understand from studies in concert halls that the better your view of performers the betters it sounds regardless of the acoustics ... same with quality of airconditioning - it all allows you to relax and focus on the music - less fatigue etc.
Thats why I would never use ZR panels regardless of how well they worked - the psychedelic era is well gone for me
Phil