Did you even read his story?
I read it this morning. It's not implausible to believe that everything he described was happening for him, in his mind, in the same way that we experience dreams. His evidence for a more supernatural explanation comes down to two points: 1) that there was no measurable brain activity while he was experiencing these impressions; and 2) that he saw a sister whom he says he had never known.
On the first point I am not really qualified to make an argument, other than to say that time is highly subjective in dreams, and it's entirely possible that everything he experienced took place in a few seconds. It's also possible that our techniques for measuring brain activity are insufficient to detect whatever he was experiencing.
On the second point, it is still easier to believe that he had seen a picture of this woman at some time in the past, or that someone had described her to him, than it is to assign a supernatural explanation to the whole experience.