I am fortunate to have the new AQD1, and I also have the ABB1.
I was using the ABB1 as follows: Two stacked vertically on the front wall, centered between speakers (pattern runs vertical). Rear wall ABB1, were mounted side by side (pattern runs vertical), in front of a 3 GIK 244 Panels, and about 8" down from top of panel, located on the rear wall behind my seating position. I developed a great way to mount the diffusers in front of an absorption panel without damaging the panel. I can move them left or right and I can have them flush with top of panel or I can drop down about 10" max.
I would post pictures, but the picture police would probably get offended. But we all know what the AQD1's look like, so just think of the same picture, but on a wall

or in front of an absorption panel.
To help out, Dave posted a nice JPG of what the patten looks like on the AQD1. Remember they are made/shipped in male/female pairs. I bought 2 pairs of the 2' x 2' size. The male/female patterns are easily seen by just inverting the picture below:

For me in my room and my rig:
The ABB1 sounded as if the sound (mids/highs) was being pushed forward from the panel location more than side to side diffusion. They seemed to perform better in the center of the front wall for me than any other location - side walls, rear walls, etc.
The AQD1 were place exactly where the ABB1's were. The front diffusers (female) improved the center image over the ABB1's. And combined with the rear AQD1's the sound stage from left to right became better balanced. The ABB1's again seemed to push the sound forward right where they were placed, where the AQD1's helped diffuse the sound better.
I am still playing around with placement to find ideal location and orientation.
Overall the AQD1's are an improvement in sound over the ABB1's in my room and for my rig. Other may find the ABB1's are sufficient and/or better. But until you try each out, you may not know which product will give better benefits to your room.
If in doubt which to buy first, I would suggest the newer AQD1.