Personally I think the liability should be on the party submitting the complaint, not the platform. As long as the platform is permitted to reinstate the content after an appeal (which is what the DMCA counternotice safe harbor is about), that's enough. The DMCA framework works well [0], and I would like if it was extended to patents and trademark/counterfeit accusations as well.
[0] with the caveat that the standard for liability for false claims should be lowered, and they should be treated as per se antitrust violations.