And let's take note: the reason they called up Brown and got the rights to the story was because Coon realized that he had
based his episode somewhat on elements of Brown's story; it just wasn't intentionally
based on it. Coon realized he'd read the story at some point in the past and was probably inadvertently drawing on his memory of it. So it's not actually wrong to say the episode was based on the story. It's just an oversimplification.