Another, related issue is that the takedown mechanism becomes a de facto censorship mechanism, as anyone who has dealt with DMCA takedowns and automated detectors can tell you.
Someone reports something for Special Pleading X, and you (the operator) have to ~instantly take down the thing, by law. There is never an equally efficient mechanism to push back against abuses -- there can't be, because it exposes the operator to legal risk in doing so. So you effectively have a one-sided mechanism for removal of unwanted content.
Maybe this is fine for "revenge porn", but even ignoring the slippery slope argument (which is real -- we already have these kinds of rules for copyrighted content!) it's not so easy to cleanly define "revenge porn".
DMCA isn't directly that bad. DMCA is under penalty of perjury, so false take downs are rare.
The problem is most take downs are not actually DMCA, they are some other non-legal process that isn't under any legal penalty. Though if it ever happens to you I suspect you have a good case against whoever did this - but the lawyer costs will far exceed your total gain. (as in spend $30 million or more to collect $100). Either we need enough people affected by a false non-DMCA take down that a class action can work (you get $0.50 but at least they pay something), or we need legal reform so that all take downs against a third party are ???