Hmmmm, interesting. Is it at exactly a quarter that the light comes on? My fuel light comes on when it gets to a little below a quarter - after driving about 5 miles the needle will often then go right to empty. I always thought it was just a Jeep character flaw, but now you've got me wondering if it's not as empty as it says it is! I've driven quite a long way with the gauge off the scale and never had so much as a splutter!
Low resistance should indicate full as a bad connection would drop the indication to empty so you don't think you have more fuel than you actually have.I have ZJ marked on mine to so that's normal.