I assumed the comparison was more directed to Asparagirl's "Yeah, I'm looking at you, Washington Post" example. Like this:
Perhaps individual private websites, such as pekk's, should have the right to say "No, you do NOT have the right to pound my site with requests and serve data that I decided to pull down."
However, in theory, the Washington Post's articles online are also (eventually) placed on microfiche. Saying there's no right to serve data that WP decided to pull down would in some sense require WP to "steal into libraries in the night and set fire to their microfiche collection".