His article is a nice read as well, talks about the organization's thought process during the rebuild:
Speeding Up The Rebuilding Process
Laumann and his scouts were as handicapped as any staff under the old Collective Bargaining Agreement. White Sox owner Jerry Reinsdorf generally recoiled at the rise of signing bonuses in the sport for amateurs, and the club rarely spent top dollar for amateur talent. Many first-round talents were simply out of the White Sox’s price range.