My cats really like it, and it has the advantage of having essentially no dust (I have an asthmatic cat). I don't think everyone should rush out to switch, especially if they like using clumping clay litter, but it is a good alternative.
Everyone always says "clean up anywhere your cat has urinated in the past, because if they can still smell it, they'll think of it as a good place to urinate". Why does that suddenly stop being true of a litter box?
I know cats also like a clean box, and while the pad at the bottom does store urine, it stores it in a way that is much, much less smelly than using a non-clumping litter and changing the whole box once a week, or even considerably more often. Marilyn Kriege, you have, on this forum, recommended non-clumping clay litter for kittens, and that system does "store" urine, so you have recommended systems that store urine.
I think that the breeze is better than any other alternative to clumping clay litter, and my cats love it. For urine, they prefered it to my old box (which was Yesterday's News because of my cat's asthma).
Most relevantly, since meow meow's cat hasn't used the box yet, that's not the problem in this case. The problem is a failure to transition. As meow meow knows, I don't think she's mixed enough of the breeze litter into her old box. Slowly, slowly mixing the new litter into the old litter is always a good way to help a cat transition litters. My cats even tried to paw the breeze over into the old box to cover before they started using the breeze.
Maybe meow meow's cat won't like the breeze, maybe he'll use it just for urine and not for feces (which seems common, maybe just early in transitions, maybe for some cats forever), but the current problem is that he simply doesn't know that this new box is a litter box.
For the larger question of whether meow meow (and anyone else) should switch yet, the advantages of The Breeze are ...
1) no huge volumes of litter (it's too heavy for some people, and others have concerns about environmental aspects of large amounts of waste)
2) functionally dust-free (there is some dust in the litter pellet bag, but that sifts right down to the urine pad and cat's don't have to breathe any airbore dust as far as I can tell)
3) You don't have to scoop urine pellets
4) It really doesn't track.
5) cats won't eat it and have health problems from it
Of course, anyone who switches now is an early adopter; we'll just have to wait a few years and see if cats using The Breeze develop "elimination problems" more than cats on other systems. I really think it makes sense, at least for now, to mostly compare the breeze to other alternatives instead of comparing it to clumping clay litter, a system that works for most cats in most cases.