Ironic that this 6 month old thread was necro'ed.
I bitched about Center Axis Relock shooting stance on another thread, and I have a pet peeve with thumbs up high pistol grip as well.
I am just not a big fan of new fangled "systems" that think having your fingers or body close against the moving slide of a pistol is a good thing.
The best example of that was a guy on youtube a few years back (I think it was GunWebsites) videotaping himself shooting .380 pocket guns at a range and complaining that they are all jam-o-matics and don't function as well as full sized pistols. "Look this one jams, that one jams, this one gives you slide bite, this one has a slide hold open on the last round but it only works half the time." Everyone commented that he seemed to be holding the pistols "funny" with his thumbs point up instead of out and his thumbs were resting too close to the slide and slide lock, and that this was causing the malfunction. He blurted back that he had tons of experience and professional training. That is the first time I seen the "Thumb up high" grip, and since then if I see a gun review and the guy uses that grip, I take his review and any mention of jams with a grain of salt.
Maybe you can drive a car straighter on the highway if you move your seat all the way forward, with your forehead close to the windshield and keeping your chin hovering just above the steering wheel....but its not the safest or smartest way to drive.