The fuel injection helps out at low RPMs a lot too, you get the boggy stuff going on with a big DP carb when you tip in, kind of the nature of the beast really. I can pretty easily pull a low to medium sized hill at 1200 rpm with the EFI after some tuning.
Its hard to know, but this transmission is actually a TR-6060 (Like in a Hemi Challenger, 10-up Camaro SS, Mustang GT350, etc) not actually a T56, but with a custom "Ford" slip yoke output shaft and tailhousing since all of those vehicles have "divorced" shifters. If you look up "2010 Camaro TR-6060", the main case is identical. Not sure the exact Syncromesh application because all the earlier applications came with Dexron III and it appears that at least the challenger and camaro for 2010 came with "pick your flavor" of ATF. GM's fluid specs are all over the place, the OE fluid on my 04 Colorado's Aisin is 85w-90 GL4, my Cruze had 70W GL-4 (I went to 75w-85 GL4), and I had a 1990 Cutlass Supreme that used 10w30 motor oil, so who knows. I also don't know why they'd put a giant Dexron III sticker on the side if that wasn't what should be used, but I'm sure there isn't much weight difference, that stuff is light weight.