How about if you want the information in a search engine, but you would prefer that the "search engine" didn't just nick the contents and display it on their site, rather than sending searchers to yours?
Edit: thanks. I see Google makes it really hard to opt out of featured snippet while retaining regular search result snippet support.
Google takes the excerpt which is relevant to your query, displays it to you, along with a link to the resource.
Are we upset that the excerpt is too good? That the link isn't prominent enough? Something else?
Sure, it's convenient but it's also a bit frightening for one company to have that much power and I think that's what people are a little hesitant about.
This would be comparable to write a scientific paper and only reading the headlines of each source you're using