[eurleif]

YouTube technically has no obligation to comply with DMCA takedown notices either; there is no direct financial penalty for failing to do so. Rather, the DMCA provides a "safe harbor" exempting YouTube from liability for infringement, then removes that safe harbor if they fail to comply with a takedown notice.

For trademarks, there simply is no safe harbor, and thus no conditions under which it can be removed. That means there isn't a codified process for YouTube to follow; but the stick they can be beaten with at the end of the day -- infringement litigation -- is the same in either case. You can bet they'll do what they can do avoid it.