Just wondering if it only happens shooting Jpegs?
It shouldn't speed up at all, regardless of shooting mode, at least with Canon cameras certified to use battery grips.
Some Nikons, like the D700 as mentioned earlier by paolo, can overdrive itself using AA batteries, but those are hard to come by.
I think overdriving the shutter mechanism will reduce the shutter life of the camera as well, since it has to recock the shutter more rapidly. But that hardly matters if you take only 10,000 photos a year.
From a very quick google search a second ago I can find links to the D300S, D7000 and the 7D all claiming otherwise. That was just clicking on the third link suggested by google. Common thing is that the batteries used are slightly punchier than the originals. Whether that is safe or recommended for any camera is something I've never investigated as I am just using two stock batteries in my grip.
From an extensive Google search I see that the 7D hits 8fps with the grip and standard batteries, and
drops to ~7fps with unregulated AA batteries.
Again with the Nikons, you only get the fps boost with AA batteries. This applies to both D300s and D700. I am not aware of any other digital camera able to boost its burst rate with higher-than-rated voltages.