Whilst Dr. Beck asked only that we take down the BDI-II, I still have to pay $4 a copy for the original BDI-I so I must assume that's under copyright and licence as well. I'm going to try and find some relevant bits from WP:C to justify (or not) removing the links. From what I can see the relevant text is here: 
Linking to copyrighted works
"External sites can possibly violate copyright. Linking to copyrighted works is usually not a problem, as long as you have made a reasonable effort to determine that the page in question is not violating someone else's copyright. If it is, please do not link to the page. Knowingly and intentionally directing others to a site that violates copyright has been considered a form of contributory infringement in the United States (Intellectual Reserve v. Utah Lighthouse Ministry). Also, linking to a page that illegally distributes someone else's work sheds a bad light on us. If the site in question is making fair use of the material, linking is fine."
From what I can tell, I think that the sites that are hosting the BDI-I and BDI-II are violating copyright. Most of them don't say that they have permission to use the instrument, they don't cite the original paper, and in the licence when you buy a copy it explicitly says not to make electronic copies. Now each of these separate users may have made a licence deal with Harcourt individually, but it seems unlikely. A lot of the google hits that come up are appendices and lecture notes from university projects; I don't think there is an exemption for educational use, but then university psychology departments often buy a "portfolio" of test copyrights for limited use. This would not normally extend to use on the web however. In terms of next steps, I actually think this is one of the rare occasions where a consensus is not the way to go, but rather we could list the issue at WP:CP?
If it's an issue of helping depressed people, I'm not sure having people just fill out the form will do them much good. After all it just produces a number, it's only useful in context. One option would be to have a link to a therapeutic community as these may be of some help . For instance, MoodGym is a site which allows users to self-administer cognitive behavioral strategies .
(Will go next to type-written letter from Oliver Sacks about cycad toxicity in Guam and the link to ALS...)