The perjury part of the DMCA doesn't do what you (and most people) think. It attaches only to the DMCA claimant's authority to act on behalf of the copyright he's alleging is being infringed. It does not attach to the veracity of the allegation itself.
For example, the copyright holder for Bad Apple could face a perjury charge if he issued a DMCA takedown request alleging that something on the internet violates the copyright to Snow White (which he presumably does not own), but would not risk a perjury (in particular) penalty for issuing a takedown request for "Stairway to Heaven", the King James Bible, and the Linux kernel alleging that these things violate Bad Apple's copyright.
For example, the copyright holder for Bad Apple could face a perjury charge if he issued a DMCA takedown request alleging that something on the internet violates the copyright to Snow White (which he presumably does not own), but would not risk a perjury (in particular) penalty for issuing a takedown request for "Stairway to Heaven", the King James Bible, and the Linux kernel alleging that these things violate Bad Apple's copyright.