The web has destroyed that business model, because the news industry now controls far less advertising space, so there is no longer enough advertising revenue to support quality journalism. The broadsheets are in real financial trouble, and most have turned to tabloid-style articles (albeit ones that promote more sophisticated worldviews) in order to pull in those social-media clicks.
I find myself increasingly interested in publications like The Economist and The Financial Times, simply because their readerships have financial interest in actually knowing what's going on in the world, and so they can charge a subscription price that supports quality journalism.