This is a bad idea... In the worst case one might write a cool article and get two hits, one noticing it exists, and the other from the archive service. After that it might go viral, but the author may have given up by then. The author is losing out on inbound links so google thinks their site is irrelevant and gives it a bad pagerank. All you need to do is get archive.org to take a copy at the time, you can always a…
I guess the answer is "don't mess with your old site", but that's also impractical.
And I'm sorry, but if it's my site, then it's my site. I reserve the right to mess about with it endlessly. Including taking down a post for whatever reason I like.
I'm sorry if that conflicts with someone else's need for everything to stay the same but it's my site.
Also, if you're linking to my article, and I decide to remove said article, then surely that's my right? It's my article. Your right to not have a dead link doesn't supercede my right to withdraw a previous publication, surely?