Run a diesel out of fuel and bits break.
I always fill 'er to the top as I live miles (9 to be exact) from my station of choice, and because I record all MPG readings which you (ideally) need a full tank to do.
Do you really want low-friction tyres?
Yes fuel weighs more, but 50 KG is of fuel is not huge in a 1.6 ton car + fluids & me.
Plus I often have to go out at a moments notice so no fuel would be a PITA!