I’m going to tackle this first as a moderator, and then as an author.
As a moderator, our archive code doesn’t allow for such a feature. While we’re well aware there is no practical way to keep anyone from copying and pasting material from almost any fiction archive, it has never been AFF policy to enable that, since plagiarism is a crime. People have lost jobs and been sued for actual monetary damages over theft of intellectual property and copyright violation.
As an author, both on this site and published for sale, I have a strong objection to making it easier to find my hard work posted on a pirate website, earning someone else money. I don’t make my living writing. Most of us don’t, because only a relative few authors are going to reach “star” status and be able to support themselves solely by writing. It still doesn’t make it any less wrenching to see my work on a pirate site, and yes, I file the DMCA, and yes, I go after the hosting site if the pirate doesn’t comply. And yes, I’d file charges. I spend a long time writing a novel, polishing it, submitting it to a publisher, working with an editor, and marketing it.
I probably should be nice and not mention your nom de plume as part of the inspiration for this post, but let’s just say I can’t resist.