Section 7(2) of the Motorways Traffic (England and Wales) Regulations 1982 states:
"Where it is necessary for a vehicle which is being driven on a carriageway to be stopped while it is on a motorway . . . by reason of a breakdown or mechanical defect or lack of fuel, oil or water, required for the vehicle . . . the vehicle shall as soon, and in so far as is reasonably practicable, be driven or moved off the carriageway on to, and may stop and remain at rest on, any hard shoulder which is contiguous to that carriageway"
So it's the duty of a driver which is running out of fuel (which will normally be evidenced by it 'coughing and spluttering' for a bit before it actually stops) to get it onto the hard shoulder where it is reasonably practicable to do so.
That's not always easy. For example, I've had a vehicle I was driving break down in queuing traffic on a motorway, while I was in the middle lane. As the obstruction ahead cleared, the two lanes on either side of me started moving again, with me left stranded in the middle (and with a long queue of vehicles behind me).
As I see it, unless he blatantly ignored the warning signs that he was running out of fuel (and made no attempt whatsoever to get to the hard shoulder) the stranded driver in your question is NOT guilty of any offence. The driver who runs into the back of his car though most definitely IS guilty of 'driving without due care and attention'.