As usual, Cart is right on. I have this issue with my 2010 as well. Like Unfettered mentioned, the signal coming from the BCM is correct, as I have verified with my scan gauge. As you noted, Airspeed, the Low Fuel light chimes at the appropriate time, so the BCM knows whats going on. That tells you the sender unit, and the BCM are OK. The issue is in the stepper motor in the cluster. The tell is what Cart said, the needle does not return to 0 when powered down. If your needle says anything but 0, then the reading will be suspect. For example, if I know I have a half tank of fuel, but the needle says 1/4 with the switch off, then it will likely go to about 3/4 when I start the truck. I too have had it go to 1 1/3 indicated, which looks silly. I reset my trip meter when I fill up, and try to look at the gauge before turning the key just to keep my mind correct on the real fuel level.
ALSO, I have noticed on my truck, that I can turn the key on, then turn it off, and keep doing this power cycle a few times and often times the stepper motor figures itself out.
Yeah its annoying, but its not enough to make me want to replace the cluster over it.