Yes, this is a pain in the butt for webmasters, and yes, if Google arranged for only Google Analytics to display these search terms, it'd be an anticompetitive abuse of market power. But any webmaster's power ends at the limits of their site.
Really don't like people using encrypted search and not passing along search terms? Don't serve them the content they were looking for - explain the situation to them instead. Or pursue a milder approach where the content is displayed alongside a suggestion that they use an unencrypted search engine. That's about all the recourse you've legitimately got.
Really don't like people using encrypted search and not passing along search terms? Don't serve them the content they were looking for - explain the situation to them instead. Or pursue a milder approach where the content is displayed alongside a suggestion that they use an unencrypted search engine. That's about all the recourse you've legitimately got.