It's a good question, though I will say that just placing it in the same universe as the books/show really will inspire some players to emulate the action and story styles. It is one of the main values of using any established setting, especially a television/film one. The players have an example of how to have things go.
I am curious how that would go over with shared settings, such as the Thieves World series of books, where the various authors felt a little out of step for style, substance, and so on (to me).