Very often a headline is all someone needs or wants. That has value. Without anyone buying that newspaper, the newspaper stand has got value from the headline, and contributed nothing to the newspaper publisher in return.
The reality is that headlines are advertisements for articles. That's why there are headline writers in the first place. Make a better advertisement, get more sales.
In the case of Google, publishing links with headlines means publishing free ads for that website. The website most certainly benefits from that relationship, if they didn't, they would just use robots.txt to block Google indexing their website, which someone has always been free to do.
The real problem is that newspapers would just like to take a percentage of Google revenue, because they're a big company.