I have a similiar problem but haven't verified it. when I first got mine running I was a bit short of cash and had to push the limits of the low fuel light. turns out it's really short. about three to 8 miles after that light comes on It will begin to suck vapor and nearly stall. at about 1/8 or just before the light comes on I risk a no start if I park facing down hill
fun note. where I park at home, is on an incline and this has happened once. it stalled in reverse and I couldn't back out before it stalled....
how did I resolve it? simple, I NEVER allow it to go below 1/4 unless I am on flat ground or still driving. then I can use the tank to the light. it sounds difficult but I just treat the 1/4 mark as empty and fill up before it gets there. the last 1/4 is reserve capacity to me anyhow, and always has been with all my cars for my own personal safety reasons.. if something goes amiss, you still have 1/4 to get you about 80-130 miles depending on the sensor accuracy.