It's not uncommon to hear writers (e.g., Nabokov) say that they don't aspire to inspire the minds and lives of their readers. In other words, they solely write to entertain.
However, per Allegra Goodman - the winner of the Whiting Award for Fiction (1991):
A true writer opens people's ears and eyes, not merely playing to the public, but changing minds and lives. This is sacred work.
Maybe the solution is to write to inspire by entertaining the readers.