It is the same Transmission as the 'Vette: The Hydramatic 6L80.
The early auto Corvettes had a sluggish shift time, I guess, when using the paddles. You'd have to shift anywhere from 500 to 700 rpms early so that you wouldn't hit the redline, have the fuel cut-off kick in, and generally kill your times.
'08 they fixed that, and the magazine testers reported a noticeable "crispness" to the auto that wasn't there in the LS2 'Vettes. In the LS3 Corvette, 0-60 times differ between the two trannys in that the Manual is only .1 seconds faster to 60 mph than the Automatic. I don't know about you...but I think that's impressive.
Of course, I don't belong to any G8 sites, nor do I know anybody who has one, but I haven't heard of this issue before now.

This could, of course, be people who've driven Manuals all their lives, or people who will try and find a problem with everything....OR it could be a legitimate problem. I don't think GM would skimp on
anything with the Camaro, though.