I actually once spoke to them on the phone. FWIW, I don't think it's a deliberate scam, I think they just don't take their responsibilities seriously.
If you read both those threads, you'll know that, given a little persuasion, they will actually remove erroneous claims quite quickly. And since I wrote my response to the first thread you linked to, I've heard rumours (and they are only rumours) that YouTube has been cracking down on companies that don't play fair.
Basically, the initial match is automated, and an automated system is never perfect. It's possible, for example, that some music in your video sounded like a different piece of music administered by Dance All Day. If you dispute the claim, they should review it manually and remove their claim. If they don't do that, judging by my experience and what other people have said, if you contact them directly they will remove any erroneous claim.