the HP rating is dependent upon the size of the pully, it's about gear ratio. For racing applications they make different sized pulleys which will reduce the alternator's output, but also rob less HP from your performance. This would also affect the alternator's output, so running the alternator at a slower speed, with a weak drill motor would mean it would take longer for the battery to charge. Also, a lot of alternators do connect back into the charging system via a 3rd wire but that's just to test the charge on the battery so that the alternator will release the clutch on it's pulley when the battery is charged (and therefore freeing up HP in the engine). So, I think the story is plausible. I would also suggest that the battery wasn't all the way dead as I think it would take more than 30 minutes to charge a totally dead battery to good enough to start a car with a screwgun, but it making the difference between not enough to start and enough to start? you bet.