If I see a facebook link, there are many problems:
- I don't know if it's a video
- I don't know if I'll see a login page or if I'll get to the content
- I don't know if the content is viewable by me because of privacy settings
And then this works the other way - why should I share a video on facebook when I can't tell if my recipient will be able to see the video? I don't know if they'll get a login prompt. I don't know if they have the permissions to see the video.
All this friction doesn't exist with youtube, or at least is extremely minimal.