Doublesizer:
There is often a reason why many stories are deleted and never resurrected.
You can preserve them on your disk, but you don't have the rights to host them. That's what copyright means - the right to copy - and that belongs to the author, even if the author doesn't care about the stories anymore.
The best I can suggest is that if anybody is searching for a particular story, you can privately fulfill that request. Otherwise, deleted stories are just that - a memory in time. Perhaps they never existed in the first place and it's just a figment of our imagination. Maybe we don't exist either.
IANAL, but...
Technically, I think privately sharing--or even preserving for your own use--a copyrighted work is still copyright infringement at its core, unless first sale doctrine applies and you are an actual owner of the work. That's why I can't legally just screenrecord a movie on Netflix and share it with a friend.
For a digital work? I think it would depend on the original license those works were uploaded under. My Netflix example above is flawed because I'm *sure* their terms of use covers that case somehow, and goes beyond default "all rights reserved" copyright anyway.
If you uploaded a story to something like Dimensions Magazine right now, their terms go like this:
(You) grant, the Company a perpetual, royalty-free, non-exclusive worldwide right and license to display, reproduce, adapt, modify, publish, translate, create derivative works from, distribute, perform, play, make available to the public, use, and exercise all copyright and publicity rights with respect to any and all content that you post on the Websites.
So I guess, in theory, Dimensions could create that archive, but only for stories that were uploaded to it.
As an aside, I can't find anything in FF's Terms that addresses what rights you grant FF regarding content you upload, just that you still own the copyright to your work.