My direct experience with the company was while we (our company) was supporting the website of a regional importer for one of the companies that Markmonitor was "supposedly" protecting. Without doing any due diligence they initiated procedures to claim that the local company was infringing on copyright while also promoting counterfeit goods. It was of course absolutely ridiculous because the regional company was the authorized retailer.
Even after the mother company informed them that the regional partner was actually authorized it took almost a month to move on with the procedures that would allow the domain to be released again. Absolutely horrendous response from this company and totally incompetent in making the correct determination. My only hope is that the mother company dropped them after the stupid mixup they created.