Our SOPs are to only stop between 80kts and V1 for engine fire, engine failure, winsheer warning or a condition which meant the aircraft was not flyable, like jammed controls. And that is on a Boeing. Johnman makes a very valid point that a circuit and (possibly) overweight landing gives you the full runway length to stop on and not just what you have remaining if you reject at high speed. What would be wrong with getting airborne and starting the APU? From the phrasing of the question 'all' generators would imply those that were running at the time of take-off, which in our operation wouldn't include the APU?
PP