Probably not. The DMCA provides remedies for notices filed in bad faith, but it'd be hard to prove the music group was acting maliciously rather than stupidly.
E.g. "Even if EFF could show that Universal Music acted recklessly or with negligence—that wouldn't be enough."
That sounds like an incentive for these companies to file deliberately nonsensical DMCA complaints, so that they'll always be able to disguise malice as incompetence.
