This. I wonder how many people actually fall for the "DMCA" requests that are not valid.
A lot of the time there isnt a whole lot of say in the matter, upstreams require action within tight timeframes, and counterclaims take time and need to be completed by the end user - often well down the chain. Furthermore alot of upstreams will terminate customers for a large number of complaints regardless of legitimacy. Some providers (I could name and shame a few) are particularly bad, while others are of course quite reasonable.
At the end of the day however, you need to asses why it is you are getting these complaints. If you are doing something, and its legitimately generating falsified DMCA's then make your upstream aware of it, they might be able to SWIP the IPs or advise their staff to ensure special handling. If the DMCAs are legitimate, well thats different...
False DMCAs (and abuse complaints in general) can make a very dangerous weapon, as our society is very risk adverse, and rightfully so the legal ramifications can be immense. I have never seen the results of a study regarding legitimacy of DMCAs, but I imagine the DMCAs sent to the likes of KAT, Google, etc would outweigh false ones.