I'm seeing nothing that actually proves that the DMCA was used. We know already that major record labels use Youtube/Googles "ContentID" system - which in itself isn't a DMCA claim system (although it can lead to it). Given the speed of the takedown, it seems likely this system was used.

Until one side comes out and confirms that they used the DMCA rather than the ContentID, trying to point the blame at the DMCA seems to be rather hasty.