But there's a very real potential not just for "new features" to be unusable for IE6 youtube users but for the entire layout of the page to be broken for IE6 users, rendering the site unusable. Who knows if that will happen but youtube (aka google) is saying now that they don't care whether or not that happens in the future, it's the users' responsibility to upgrade to a more modern browser if they have that problem.
That is indeed very significant.
AFAICT, they're not going to let it become unusable for IE6 users. That would be silly, because they could just create a IE6-only stylesheet with "display: none" for everything on the page except the Flash video player. A lot of users would actually consider that a significant improvement.
Hopefully, the user gets some sort of warning that their browser is unsupported every time they visit. I suspect even the most complacent of users will want to upgrade if the nag screen is still in their face.
"[IE6 users] will still be able to watch videos after that date, but new features may not work properly."
What percentage of people use any YouTube features outside of the (Flash) video player UI? It's got to be very low. I bet it is extremely low for IE6 users, as IE6 users are typically people that don't keep up with new things and/or office workers at work.
YouTube could add new features all day, every day, but for the vast majority of users, video playback is all they care about anyway.