Comment Wayback Machine (Score 2, Informative) 837
There are a lot of missing dates, but it looks to me like whitehouse.gov had a major site redesign sometime between Jul 13 and Sep 13 2001, and that when the new site was released they started putting in lots of the disallow statments for certain paths.
From Jul 13:
7-13 Whitehouse.gov
7-13 Robots.txt
From Sep 13:
9-13 Whitehouse.gov
9-13 Robots.txt
It seems to me like the simplest explanation is just that their redesigned site has multiple paths to the same information, and for some reason they felt that their search engine rankings would improve if they eliminated superfluous paths. Although I'll admit it's suspicious that their old robots.txt from 2 years ago had 151 Disallows, and the one from today has 1552 Disallows, while the site uses basically the same navigation structure.