> Visibility is not a meaningful "reward" for established European newspapers
Why? There are two ways how I would land on a newspaper's page. One is if I read them regularly, then I just go to their website directly to check what's new. That's what their loyal audience does, and Google doesn't affect that.
Another one is that I'm googling for news about a specific event or specific person - then I go to whatever pages Google shows me. That's how newspaper expand their loyal audience.