It's really hard to recommend one over the other. And I have both.
I had a Suzuki Burgman 400. I did a SS1000 on it and used the Beadrider. It worked great. The Beadrider was only part of the equation, but I was as comfortable on the SS1000 as if I was sitting in a barcalounger. I liked the Beadrider a lot on that seat. The seat was shaped like a "tractor seat". I think that makes a difference. The airflow through it was great, and that separation from the seat covering helped to keep you from sitting in a pool of water when riding in the rain too.
The airflow was so much, that I had to put duct tape over the front three edges, about 3-4 inches across each edge to make it tolerable in the winter. What is fantastic in the summer...is freezing your a__ off in the winter.

Literally, not figuratively.
I thought the Beadrider would be the answer on my BMW F800GT. It wasn't. It was almost more comfortable on the OEM seat. But the OEM seat on my F800GT is shaped more like a standard sport bike seat. Narrower.
I tried the Airhawk. At first I didn't like it at all. I was riding on a balloon, even though I thought I had it deflated as far as possible. And after about an hour, it felt like a rock. There was nothing comfortable about it.
I had two trips planned last summer that were about 7000 miles in total. I decided to try the Airhawk again. It worked extremely well. On the days when I was trying to put some miles behind me, I could ride 10+ hours with no issues at all. The secret was to deflate it even more.
One tip for using the Airhawk... Only use the front tie-down strap if you are riding in weather where it might rain. When you stop, you can flip it up vertically to rest on the tank and not collect water.
Bottom line...YMMV is really applicable here. What worked for my tush, may not work for yours. If I was to try just one...I think I'd try the Airhawk.
Chris