It would be more helpful to explain the apparent conflict between this blog post at the Internet Archive and the Wikipedia Outlinks page it links to. While the former may imply that the archived pages can be accessed via the Wayback Machine the later makes clear that that collection is not publicly accessible.

@Nemo_bis To quote from the page I linked above "These files are currently not publicly accessible". Please explain why I am incorrect.

In T153354#2880916, @Niharika wrote:

Nice, thanks @Nemo_bis. The relevant bit is here: https://www.mediawiki.org/wiki/Archived_Pages#IA_is_crawling_Wikipedia_outlinks