I use a 2011 Suburban with 5.3/6L80 and this is exactly my experience with it. It does it fine, but it is gutless and sucks gas. It got better when I rebuilt the diffs and regeared to 4.10's, but it is still rough. We tow a 6k lb travel trailer with it and it will cruise at 70mph in 5th gear no problem. Pulling hills in the Cascades or coastal mountains it will drop to 55mph and 3rd gear usually. Part of that is that it is an AFM engine and has 230,000 miles on it. It is definitely hurt. I just recently got a donor 6.2 for it and am in the process of cleaning it up and rebuilding it with a decent towing cam to replace the 5.3, that should make it a much better tow vehicle.