I didn't get much time to watch the video.
Even though I'm not really sure about everything that they took into consideration with this, I would have to say that unfortunately they could be right.
The only way I would say that they are absolutely right is if the vampires you think about have super human speed as well as strength. Take that extra speed and extra strength, then add in the fact that they still have the ability to strategize and think about every move they make. They can intelligently attack and defend, unlike your typical zombie. Super speed and super strength vampires will win every time. There would be no way for them to be outsmarted by the horde and they would move too fast to get trapped in a giant mob of them.
On the other hand, if the vampire has the same speed as a typical human, then their odds of surviving are only increased because of the extra strength. Even though they are stronger, they can still only move so fast. Everybody has that point of being overwhelmed and if the mob gets big enough, even a vampire wont be able to hold their own. Without that extra speed, the chances of getting trapped in that overwhelming situation becomes greater, even with more strength.
This is just my opinion though.