Currently this feature is not available for students.
The Watch Page is much faster than utilizing the Google Drive link as the primary sharing option. When watching a video recorded via Screencastify by clicking on the Google Drive link, you have to:
First, wait for the video to fully upload to Google Drive.
Then, wait for Google Drive to fully process the file before the video is available to play.
When watching the video via the Watch Page, you only have to wait for the video to fully upload to Google Drive. At that point, the video is immediately available for playback as it finishes downloading and processing.
If a viewer tries to fast-forward to an unprocessed part of the video, they will see a message that the video is still processing. But, downloading and processing often happen faster than a video playing, so the video is essentially “fully” viewable once upload to Drive is complete.
Additionally, the new watch page is able to give insights to who has watched your video via Viewer Analytics.