I feel like you might have missed the point of the article. They go into the example with weather.com, a for-profit website, that is also losing out on clicks. The general idea seems to be that google goes to the site on behalf of the user then doesn't serve the user ads (or in the case of wikipedia donation a donation banner).
Google for sure is just using the weather.com api like everyone else is doing. They license it for android so it would seem insane they wouldn’t for web.
Also every other search engine shows some form of zero click weather. Really bad example.
