I don't know about the fat grip part but my hi-power is a tack driver and almost brings itself back down on target. My Kimber shoots real nice, but I have to keep it under control, it tends to want to jump more than the hi-power. But we are talking 9mm vs .45 here, and .45 vs .44 mag; that alone accounts for some of the differences. I was just at the range with my recently acquired SBH and I have to say its a good thing it has some good grips and that it is a single action. I only fired it six times and had about a 10" spread at 6" high from POA at 50 Yards, I would not want to try shooting it as a double action even if it was capable. I think it all boils down to what you own and what you are better with, and of course what you practice more with.