Does reading books have intrinsic value, or is it just a specific (archaic?) way of transmitting information? Socrates would be a podcaster today
I think specific, but not archaic. The written word can be beautiful like any other form of art - it's not only about transmitting information but transmitting emotion. Sorta like a photograph, painting, or song.
writing well is really hard. other mediums are other mediums.
sure the new mediums have reach going for them, but im not sure socrates would’ve enjoyed or optimized for popularity.
Ever heard about imagination?
Yes, I think so. When you read a book you spend a long time with the ideas it contains. You think about the book when you go about your day: primed by what you're reading, you see new connections. You are in conversation with the book. Maybe parts of the book seep into your dreams. Years later, you might remember what you were doing when you read a particular passage.
Much of this is because reading a book takes time.