Take it from an expert at AR - obsessive attention to detail and organization has nothing to do with NEAT.
Most of the GREAT EXEMPLARS of AR (like myself he says modestly) were noted for their piles of "details" spread all around their workplaces. Piles from which they could instantly retrieve any detail needed.
The NEAT desk, however, is the sure sign of a person with little capacity for handling detail. As such they must have everything in it's place, or they'd never be able to find anything.