Making justice available only to people with monetary (and in US courts at least, wealth is a strong predictor of outcome) and other relevant resources is not the kind of thing that I want society getting worse on.
DMCA enforcement of copyright is thus fundamentally a good law, and in my opinion should only be tweaked to deal with the pathological cases on platforms like YouTube, and even more so what's happening in YouTube.
Some mild disincentive against incorrect DMCA takedown requests being filed seems reasonable to me, as long as it scales with the level of inflicted damage. A few dollars per false claim seems like a good starting point to consider from. That makes a legitimate mistake by a human not a major issue, but also maked unleashing inaccurate mass bots and performing extremely overly broad blocking deeply unprofitable.
Of course, the broad EU blocks aren't governed by US's DMCA, but the basic incentive argument applies there too I think.