Personally, I've never used the Breeze system so I can't give my personal opinion. A friend of mine did, however, and he loves it to this day. The main drawback that I didn't like was that you'll have to continue to purchase those pee pads that soak up the urine underneath, and perhaps reposition the urine tray if your kitty tends to wee in the same spot. My friend said he used 1 pad/week, but he only had one cat, which only ate kibbles, not canned food. I feed my 2 kitties wet and raw (absolutely no dry food), so they'd definitely urinate more, thus use up much more pee pads... The pellets are made of zeolite, which acts as a drying agent, but pellets in general make it difficult for cats to bury their waste effectively, as you probably know (with Yesterday's News). When any solid wastes are there, it'll definitely smell, at least for a while, unless you scoop it out right away or feed a raw diet.
The only thing I'm not sure of is that stepping on pellets feel better on the cat's paws than small granules like clay. From my viewpoint, pellets in general seem more uncomfortable for the cat? I used to use pine pellets initially when my two cats were young kittens. G seemed to dislike it and used to eliminate outside the box until I converted to clumping clay. Just my experience, though.