Quite an extraordinary claim, any evidence of this?
I certainly don't pay attention to many such details in mundane life. I just made myself a cup of tea and put the cup onto my nightstand, but without looking, I cannot tell you which cup I chose and how is it decorated. I was distracted by something else when preparing it.
And dying people are probably more distracted than people who make tea. Most people who describe their NDEs in hospitals tend to concentrate their narration on other people, e.g. the team trying to resuscitate them.
Plus the headphone audio setup seems extra wrong to me. If you want to test hearing abilities of people who claim that they are outside their bodies, why use a device that sits on their ears?
This is all anecdotal but a lot of NDE/OOB experiencers describe feelings of oneness and a singular connection with all matter and beings that they gain upon "leaving" the body and lose upon re-entering it. A lot of modern day non-dual seekers similarly describe their locus of perception post-awakening as being distributed through the entirety of the room that they're in as opposed to just the spot behind their eyes. Even MPSimmons' description of his experience in another comment mirrors what teachers like Angelo Dilullo (himself an anesthesiologist) describe.
In other words, nonduality says that there's just one consciousness/point of view that we falsely interpret as fragmented (ie mine, yours, the surgeon's, the table's, the chair's). People who report NDEs/OOBs use language that suggests the same.
In a very non-woo way, I think nondual perception and this line of experience is truly fascinating and I wish there were more scientific resources devoted to its study.