Just for curiosity, is it prohibited in UK to change a tyre or make some other necessary repair by the motorway? Or is it must to have the car towed away immediately?
For reference, in Finland it is allowed to change a tyre on hard shoulder or to leave it there to be repaired or towed away next day. It is also allowed to tow with another car by a rope, towing car has to be heavier than the car to be towed.