I can see how when say medium which is dealing with curated data from my sources could benefit from leveraging a BlockChain or like solution,

To coin that Web 3.0 goes too far in my opinion, as I believe there are many scenarios where one would not want or need this dependency.

How could Medium benefit from blockchain, exactly?

I imaging could provide guarantees about the authenticity of the articles author and guard against plagiarism.

How would it guard against plagiarism? A blockchain can log the timestamp of a certain article, but there is still no proof that it was the first.

You could also accomplish the same thing (verifiable digital timestamp of a text) by emailing the article to multiple people through a major email provider like Gmail.

https://www.qubistry.co/marcoslozada/about-us.html see that is my thesis!

That and much more!