If you publish a youtube video publicly, there is an expectation that the public is allowed to view it. Is the idea that the author didn't have the rights to p

If you publish a youtube video publicly, there is an expectation that the public is allowed to view it. Is the idea that the author didn't have the rights to publish the video in the first place, due to things like unlicensed background music? Thus far, Youtube is under the safe harbor principle of the DMCA, and as long as they honor those takedown notices, the end user is not likely to be held accountable. The software they use is even less likely to be.