The Nr Fairy - in fact the previous crew had acted totally correctly to the ADI comparator warning. Wheras the accident crew were distracted by other events to an extent that perhaps they weren't able to focus on the primary task. If they'd had the chance to talk to the previous crew, perhaps the captain would have flown with his ADI selected to the standby source and would have entrusted the take-off to his co-pilot? How easy it is to be wise after the event though.
Of course, even if the INS fault had been correctly diagnosed and repaired, there is nothing to say that a totally unassociated ADI failure couldn't have occurred on the next take-off. Which is why CRM is so important in recovering the situation. Never mind the radio, stop worrying about the DME, if an attitude comparator warning occurs in IMC, both pilots must immediately become involved in swift and correct 'Compare and handover' actions before non-recoverable extremes of attitude are reached. And that must be second nature.