Ok so you're focusing on the title rather than the content. The article itself seems clear enough to me, but I haven't had a lot of time to digest it and it's possible I'll reread and change my opinion letter.
On first reading of the article and your comment i'd say that the both of you are coming from the same perspective. There's nothing to be concerned about after death (incorrectly thought of a "being dead") but there's a lot to be concerned about in terms of how and when we die.
And I read the takeaways of her article to be that is is ridiculous to conclude that Epicurus taught the same attitude toward "being dead" as he did toward how long we live and the circumstances under which we stop living. But that's exactly what many seem to be doing, and it turns the philosophy on its head to take that position.