I don't think I explained that very well. We do not block YouTube at all. Users can go to any youtube video as youtube.com is completely allowed.
The issue is the truncated links. I work for a state agency, and a different state agency posted some training videos on youtube, but for some reason the only links they put on the website for them are the truncated ones. Truncated links are a known security issue, so I don't want to allow all of them, just these 5 so users can get to the training videos.
So we are not trying to restrict youtube to certain videos, I am trying to allow certain truncated links.