Yes. There are many educated books based on true stories. For example, 'Educated' by Tara Westover is a memoir, which is a true story of her own life journey from growing up in a strict and isolated Mormon family in Idaho to getting an education and breaking free from the constraints of her upbringing. It's an inspiring story that shows the power of education in changing one's life.
I'm not sure. It depends on the author's intention and the nature of the content. Sometimes books labeled as 'The Educated' might draw inspiration from real events but not be a strict account of a true story.
Not at all. While there are many educated books based on true stories, there are also a great number of educational books that are fictional. A book can be very educated in terms of teaching moral lessons, cultural values, and language skills, but be completely made up. For instance, 'Alice's Adventures in Wonderland' is full of educational elements like wordplay and strange logic, yet it's a fictional story.