Possibly perhaps, the big publishers (with deep pockets and lobbyists) really like this approach because despite entrenching big tech, it erects formidable barriers to entry for new upstart competitors to them? Regulatory capture is a tried and true tactic for industries that reach a certain size.
IMHO society is a lot better off trying to prevent summarization efforts (that eliminate the need for the user to visit the page) than they are trying to charge for links. The latter is something that benefits everyone regardless of size. I'm not necessarily in favor of doing that either (would need to think it through a lot more, because it would essentially legislate a worse user experience, which is not something to be done without serious deliberation), but it seems like a much more relevant fight to have and one that isn't so self-serving.