Disputing YouTube on copyright

I have republished a number of videos of TED Talks on my YouTube channel over the past few years, as I have wanted to share them, TED allows me to, and more eyeballs for my channel means the possibility of more eyeballs for some of my other videos. Whilst doing this, I have always been careful not to violate the terms of the licence that they are issued under.

Recently though, I've been starting to get notices from YouTube/Google of a possible copyright violation. I have therefore taken the first tentative steps towards disputing this - partly to try and stop these notices, but also to stand up for my right to reuse a work I have clear permission to do so.

The text I used to dispute the claim is below:

I am disputing this claim because the original video was issued under a Creative Commons Attribution-NonCommercial-NoDerivatives license, which explicitly permits me to republish the video on the condition on compliance with the terms of the license.

In this republication, I have clearly referenced TED as the original source of the materials, I have not used the video for any commercial purposes (and consider that the serving of advertising against this video with contravene the license terms), and have republished the video in full including the advertising/sponsorship in the original file, and have thus not made a derivative work from it.

I believe that the republication of this video was made in good faith and in full accordance with TED's terms of use, as laid out in their usage policy page:

http://www.ted.com/pages/talk_usage_policy

Interested to see what response (if any) I get from YouTube on this. If it seems worth doing so, I'll share the responses here.