I get it if those doing the linking also host enough of the content (or all of it) so that users don't have any need to go to the site. For example if a post here on lemmy or on reddit has the link to the article with the headline, but then the top comment is a copy/paste of the entire thing.
What I don't get is why news are any different than any other search result in this context? On my phone for example if I look at the android default feed that shows news and other content based on my interests, it's just headlines and thumbnail images. If I want to actually see the content I have to click on it, thus going to the news publisher's web page. Is this what they're mad about?
It just sounds to me like they're wanting to make it harder for individuals to find them. Since it's so accessible (don't even need to open an app) this is often where i'll see important headlines first thing in the morning, only later in the day will I bother to open apps, go to websites, check my RSS etc.