Mine would hesitate on hard acceleration with ~1/4 tank or less. Got worse the lower the tank level got. I ran the fuel down to 1/4 tank to make dropping it easier for replacing the pump. When I was finished and started it to back out of the shop, I had maybe 1/16th of a tank. The problem was my fuel level sensor had failed the last 1/4 of its travel and the PCM was estimating the remaining fuel remaining by injector duty cycle, run time, etc. So, when I thought I had 1/4 tank remaining, I was actually on fumes and running it dry on the hard accelerations when that little remaining fuel sloshed to the back of the tank.