If Blockchain can help education, it will be on the data storage I think the matter what the opposite is the case. It is education that can enhance Blockchain to develop to another level and not Blockchain to help education. And if I may ask "how"? Because even the YouTube video you provided didn't give me the clear information I was needed. It is only those who educated create Blockchain and not Blockchain to create education.
I do agree that the video is not quite answer any question related to how Blockchain could improve education.
But I think it could be both way, Education can help blockchain and Blockchain can help education, just like the Internet, Internet can help spread education more easily and then educated people could help enhance the Internet. And the main thing that Blockchain could help is data processing, but there are a lot of things we can do with improved data processing. A more simple example might be the less centralized and more democratic paper and research publishing, or more transaprent fund raising for educational purposes, etc.