Missing detail about DMCA here is that you can file a counter-notice. You can reply and say "this is fair use" or "I own this", and the service provider will 1) forward the notice, 2) restore the content unless the claimed copyright owner sues.

It's not perfect, and the system can still be abused. But a DMCA takedown isn't necessarily an impossible burden that requires the recipient to do sleuthing to determine the real copyright owner. If they own it, they are good. If it's reasonably fair use, say so. Sending a DMCA takedown is easy, but you can flip it back just as easily. The hard/expensive part is filing/defending a lawsuit, which the complainant must initiate, which then reveals their identity, establishes liability for false claims, and carries a burden of proof.