I would have to disagree with John on this. From a fire risk assessment point of view, a general power cut is irrelevant. There would be no fire situation and therefore no urgent need to vacate the building at all. The escape lighting is there to enable escape in a fire situation. For the lighting to be out due to such a fire, the fire must affect not only the electric circuits in the particular building but specifically the lighting circuits. This chance of this happening are rather slim. However, there is a risk of this happening and therefore this risk should be addressed in the risk assessment. Factors that would be taken into account would indeed be borrowed light, number of occupants, mobility of occupants, familiarity with building, size of building etc.
From a H&S point of view, escape lighting would be a great way of compensating for a power cut, but so would a couple of torches.