Fortunately for DBA there's more to their disc design than most folk realise, and even though I got a pair with a flaw in the casting on one set I still rate them! The design deploys proven engineering principles from other unrelated products, it simply adds a dash of hype and a twist for marketing purposes. (misguided or not!)
A major problem with vented discs is warp and cracking, the DBA's appear to reduce this hugely, follows the why..
The very old design of standard discs offers scope aplenty for both warp and cracks, lovely straight lines (support vanes) for cracks to follow and large unsupported areas of disc face to warp. This design is worthy of the description antique, it's obsolete, which in practical engineering terms translates as "needs frequent replacement". The paw design of the DBA's may sound like a gimmick, but in engineering perspective it's actually anything but.
If you look at the disc and examine the paw support areas, you will see there are no straight lines to encourage or support fracture propagation, quite the converse. The individual support pads overlap in such a way as to very effectively inhibit cracks, it does this very very efficiently. If you look again at those pads, you will also see that unlike normal discs, the unsupported areas of disc face are minimal, offering less warp potential. A third benefit is that due to the additional support of the disc faces, breaking pressure is better utilised, increasing braking for any given pedal pressure. To demonstrate this, try sawing or drilling a piece of 16swg steel sheet supported on trestles or blocks, now do the same excercise again with more support, or with the sheet on a table top or the ground. The same action and pressure will work much more effectively when smaller areas are left unsupported. The DBA's benefit greatly from the paw design, intentional, or just patriotic hype aside!
I cannot comment on the efficiency of the airflow with this design, as it would require a different skillset than my own to offer valid opinion in that area. I can however tell you something important about the discs temperature efficiency based on third party information though..
My local garage has some sort of temp sensor equipment, a gun they just seem to point at the discs for brake problem analysis. This equipment showed a 15% reduction in temperature of the DBA discs compared to the original Nissan discs when each was measured after the run from my home to the garage...
Aitch