I've reviewed the DMCA a few times and I am pretty sure this isn't true. It's supposed to be the "teeth" of the DMCA to prevent false claims, but the actual teeth are very blunted.
The requirements a DMCA takedown notice are[1]
1. you have to sign it as someone authorized to act on behalf of the copyright owner.
2. you have to identify the work you claim is being infringed.
3. you have to identify the work you want them to take down.
4. you have to give them your contact information.
5. you have to state that you have a "good faith belief" that the content is infringing.
6. Direct quote, and the only use of the word "perjury" in the notification requirements: "A statement that the information in the notification is accurate, and under penalty of perjury, that the complaining party is authorized to act on behalf of the owner of an exclusive right that is allegedly in-fringed."
The only thing you must declare under penalty of perjury is that you are authorized to act for the copyright owner. The only other claim you make is that you are acting in "good faith", which is super fuzzy. An actor sending out notices on content detected by content-id bots is almost certainly acting in "good faith" if they haven't been made aware of potential errors by those bots.
[1] https://www.aclu.org/other/text-digital-millennium-copyright... (search for "ELEMENTS OF NOTIFICATION")