archive.ph is one of the archive.today domains. I got the archive.ph link using the archive.today Chrome extension. By "child nudity" do you mean illegal child sex abuse materials? If yes, might want to notify the archive.today maintainers that their archive is being illegally misused. I'm afraid to investigate your claim and try clicking any links in case there really is illegal kiddie content.

If I keep running the search several times in a row, sometimes I get results about escorts, nudity (not clear if illegal just by the DDG small text blurb), etc. and the other times I get normal news. DDG likely has an issue with this website, but I won’t investigate this further either.

likely people used to search "site:archive.ph something weird" just before you. Isn't that what privacy-oriented search engines are for?

Your link works as you intended.