Edit: Carson was found Oleg Shakirov's findingsby Oleg Shakirov: alljohnny.com, communicated at: twitter.com/shakirov2036/status/1746729471778988499, earliest archive from 2004 (!): web.archive.org/web/20040113025122/http://alljohnny.com/, The domain was hidden in plain sight, it was present in a not very visible watermark visible in the Reuters article screenshot! The watermark was added to the CIA to the background image, it is actually present on the website. In retrospect, it was actually present at on the expired domain trackers dataset, but the mega discrete all second word made Ciro Santilli miss it: github.com/cirosantilli/expired-domain-names-by-day-2015/blob/9d504f3b85364a64f7db93311e70011344cff788/07/05/02#L1572
Figure 1. 2004 Wayback Machine archive of alljohnny.com.
What follows is the previous
The fact that the Reuters article has a screenshot of it, and therefore a Wayback Machine link, plus the specificity of the website topic, will likely keep Ciro awake at night for a while until someone finds that domain.
Some text visible on the Reuters screenshot:
  • Johnny Carson and The Tonight Show
  • Your Favorite Host and Comedic Genius
  • Submit Your Favorite Carson Moment
  • Heeere's Johnny!
    Holy crap, the "Here's Johnny" line from The Shining (1980) is a reference to Johnny Carson: www.youtube.com/watch?v=WDpipB4yehk, www.youtube.com/watch?v=aYnyPAkgyvc, Ciro never knew that... but every American would have understood it at the time.
It is unclear however if this text is plaintext or part of a an image.
Some failed attempts, either dry guesses or from DNS grepping dataset searches:
Searching the Wayback Machine proved fruitless. There is no full text search: Wayback Machine full text search, and a heuristic web.archive.org/web/20230000000000*/Johnny%20Carson search has relevant hits but not the one we want.
Another attempt was to search for "carson" on webmasterhome.cn which lists expired domains in bulk by expiration day, and it search engine friendly. It contains most of the domains we've found so far. Google either doesn't support partial word search or requires you to be a God to find itso we settle for DuckDuckGo which supports it: duckduckgo.com/?q=site%3Awebmasterhome.cn+%22carson%22&t=h_&ia=web Adding years also helps: duckduckgo.com/?q=site%3Awebmasterhome.cn+%22carson%22+2011&ia=web with this we might be getting all possible results. Ciro went through all in 2011, 2012 and 2013 but no luck. Also fuck en.wikipedia.org/wiki/Carson_City,_Nevada and en.wikipedia.org/wiki/Carson,_California :-)
Let's search tools.whoisxmlapi.com/reverse-whois-search for "carson" contained in any historic domain name. 10,001 lines. Grepping those, no good Wayback machine hits for those that also contain "johnny" or "show". Data at: raw.githubusercontent.com/cirosantilli/media/master/cia-2010-covert-communication-websites/tools.whoisxmlapi.com_reverse-whois-search_carson.csv in case anyone want to try and dig...
Let's also search the fortuitously timed 2013 DNS Census.