It appears that they don't want it and prefer other terms - pay me and you can use my headlines. We cannot force newspapers to accept Google's headlines-for-clicks system against their will.
No, they want the audience google brings. They just want a share of googles profits, riding the anti google sentiment, google got for other things. Classic politics.
Can we force them to accept the reality of how the internet has operated for the last 4+ decades, or are they exempt from that as well?
I could be convinced that demanding to be removed from Google index is legitimate. But it's also not what newspaper want: they want to be indexed and be paid for it, no way for Google not to take the deal. That's state-supported extortion to me.
French newspapers clearly do want it as Google is being forced to display links to French newspapers by the French government.