> Under the DMCA, I get to file an actual DMCA counter-notification to put my content back up
No, under the DMCA, the content host has the option to let you do that after a takedown, and, if they choose to exercise that option, you lose any legal right to sue them for taking your content down that you otherwise would have had before considering the safe harbor.
But, since most use agreements with hosts are structured such that the host would never have any liability for taking down user-submitted content, this is pretty much a non-issue.