The problem is not YouTube, but the law. The DMCA requires that online service providers (YouTube, Reddit, etc.) comply immediately with any takedown request and without question, so long as it meets sufficient conditions.
YouTube's copyright system has little to do with DMCA. Music right holders managed forced YouTube to implement a copyright claim system that explicitly didn't involve DMCA takedown requests. As a result any protection that DMCA provides to recipients of takedown requests don't apply to YouTube copyright claims.
In effect, the YouTube copyright system is a purely "voluntary" system for taking down copyright content, that goes way beyond the DMCA. It's basically designed to ensure theres no possible repercussions for issuers of copyright claims, even claims clearly made in bad faith.
You’re conflating the two systems. YouTube does have the Content ID system, which does automatic detection and is mostly used to monetize (not take down) copyrighted content. But this case is a copyright strike, which means there was a DMCA takedown filed.
YouTube’s “three strikes” policy is their implementation of the DMCA’s “repeat infringers” requirement:
> has adopted and reasonably implemented, and informs subscribers and account holders of the service provider's system or network of, a policy that provides for the *termination* in appropriate circumstances of subscribers and account holders of the service provider's system or network who are *repeat infringers*
In effect, the YouTube copyright system is a purely "voluntary" system for taking down copyright content, that goes way beyond the DMCA. It's basically designed to ensure theres no possible repercussions for issuers of copyright claims, even claims clearly made in bad faith.