There's a second effect too. Let's say governments get their wish and Google/FB cave. Now Google and Facebook have a direct financial incentive to destroy news organisations, or perhaps create their own (Twitter, FB and perhaps Youtube would make incredible platforms to create a crowdsourced news agency or publication, I would love to see how far they'd get)
When the News industry is already dying, this would change the dynamic from competing for eyeballs to social media companies actively trying to destroy news media, preventing their articles from having anything newsworthy or interesting at all.
You'd think the News industry would try to avoid picking this particular fight when they're already struggling to stay alive ... But I guess you'd be wrong.