If it were the DMCA, yes. YouTube created a custom system that isn't the DMCA which means you can't punish fraudulent claimants and also don't have the protections of the counter-notice system.
> which means you can't punish fraudulent claimants
Tortious interference applies quite generally, it doesn't require anything as specific as the DMCA. These compositions were entered into Content ID, which means someone has clearly made a false claim to being the holder of publishing rights wrt. melodies that were actually in the public domain.