Even the Sochi organizers saw the humor in the situation. During the closing ceremony of the Sochi Games, they poked fun at the incident by recreating it.
Under the error message on the current Olympic site, there's a headline that reads, "Sometimes things don't go as planned." In place of the usual description below though, they probably could have just gone with the *chef kiss* emoji.
Though it appears this has been the site's error page for at least a year, it's pretty much the perfect 404 error page. Even if it's still up in a year when the Russian team is kind of, sort of not part of the Olympics. (They totally are, even if they can't wave the Russian flag.) Well played Olympics web team. Well played.