Any news website can already prevent Facebook from generating link previews through meta tags, as I understand. But very few, if any, websites do this indicating that they understand it's not in their interests.
Perhaps people are not reading the articles because the _discussion_ is more valuable to them than the content of the article? Don't we all occasionally jump to the comment section on HN/reddit instead of reading the article? Seems to me that many news organizations have not yet figured out how to provide their customers with a product they are willing to "pay" for.
I mean, any brief visit to a small news website without an ad-blocker or, worse, a scroll through the comment section, should make this fairly evident.