[PeterisP]

DMCA is not involved in the standard YouTube removal request process - the removal request does not have to fit the criteria of DMCA, the response does not have to fit the criteria of DMCA, and as long as both Jay-Z and Youtube are satisfied, the DMCA does not get involved at all, no matter what the poster of the removed content might wish.

If Jay-Z was not satisfied with the process, he could submit a DMCA request and YouTube would have to follow the DMCA requirements in processing it, but the current process is better for both of them (not for the posters of the contested content, though).