I don't see a problem in need of a solution. I see an argument about how to split the customers money. If a media outlet does not want Google to profit off their work all they need to do is not allow Google or Facebook or whoever to hot link to their work, make them link to their portal or require a subscription. Bloomberg, WAPO, NYT, and others do this.
Yes, they are just trying to bleed a few drip out of the big players with a government intervention. The problem as they see it is they don't have enough revenue and are grasping at straws to keep from going under. They need that traffic from Google and Facebook but it still is not enough revenue and they can't get enough subscribers. What the government is being asked to do is subsidize small players to keep them in business using money from the big players because the government might be convinced that the small players provide a resource worth the subsidy and without which they would fold.
The problem they are working to solve is the loss of small and community publishers.