That’s the core thing the government is giving copyright holders, and what the public is protected from when something enters the public domain.
The RIAA clearly has the power to enforce economic harm on anyone who has to defend their lawsuits. Against small enough defendants, that makes their positions extremely relevant.
If I sue you for something ridiculous like using telepathic mind control to get my dog to bark satanic messages, the judge will just dismiss the case pre trial. If you launch a bunch of such frivolous lawsuits I can get a lawyer to counter sue you and win on contingency with zero out of pocket expenses.
edit: they might have actually settled, but the RIAA got what they wanted with no concessions
The RIAA doesn't seem to have a very good track record in cases that go to court, but the whole 'we're gonna sue you for eleventy billion dollars and destroy your life with our thousands of lawyers, but give us $20 right now and we'll call it even' seems to be quite effective.