They do (or at least have in the past). http://www.asdf.com/asdfemail.html. Interestingly, their real e-mail address is jklsemicolon@asdf.com

There is also the guy who owns bar.com which received alot of mail to foo@bar.com, its worth a read if only for this paragraph.

I MX’d the mail over to a friend’s spam-detection system for about 4 hours one time, but the volume crashed his server and he asked for relief.

When AOL first started allowing screen names longer than 8 characters, I knew someone who registered the name "My Documents". That got some ... interesting emails from people trying to save their downloads.