I think the study of paranormal occurrences including NDE is an area that bears much much more study, and so far there's no proof either way. The brain is very very complex and there is so much we don't know about what is happening when someone is dying or when they come back after being revived. I've heard the same kinds of things from people who are 'believers' and I'm sure its way more complicated than the idea of reincarnation and people turning over a new leaf after being in a coma because they got to see 'the other side'.
Not long ago we knew nothing about flying, electricity, radio waves, telephones, television, computers, space travel ... all these things have come about in the past few centuries and at first it all seemed like magic. That's how people view these NDE things now, like some kind of magical spiritual angels and sweet music and light at the end of the tunnel and stairway to heaven kinds of things. In the future, I'm sure there will be more answers as to what is happening at the time of death and return from comas and will be treated more scientifically.
I read a book which was written to discuss and rebut the standard 'justifications' that doctors give when questioned. I found it difficult to read because I'm not a medical person obviously, but it covered things like epilepsy, oxygen deprivation, brain shut down, random neutron firing and all kinds of other things....like what neuroscientists think, where consciousness exists, the function of the brain, etc., as well as observed effects on the brain during the episode. All terribly interesting even if a slow read for me.
A few years ago, a book came out by a neurosurgeon named Dr. Eben Alexander who came down with a near fatal case of meningitis. He talks of his experience when his brain had shut down entirely for a period of about 8 days while his body I believe, was basically on life support. Apparently the infection had basically overpowered his brain. But when he finally came out of the coma, he came back with tales of the most amazing and wonderful experience. The thing to remember is that while he was 'having this most amazing experience', his brain was basically not functioning because of the raging infection.
The clincher was in the story of his finally meeting his birth mother a year or two later. The illness had opened him to wanting to meet her at that point and when he was sitting in the living room of her home, there was a photograph of a young woman whom he recognized from her having met him on the other side. In their first meeting, she was a stranger to him, but she was kind and caring and helped him understand what he was seeing all around him. The photograph in his birth mothers living room, was a photo of her daughter who had died when she was in her early 20's. Dr. Alexander not only didn't know that he had a younger sister, he hadn't even known at the time of his experience, who his birth mother was. (Pretty sure that is how he tells the story - in a nutshell

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Before the illness, he was entirely a man of science, I don't think he was even a religious man of any sort and absolutely didn't believe that there is anything after this life. He doesn't believe the same way anymore. So I think when you ask for more study, I think having a man of science go through the experience himself is the foot in the door to credibility among the medical community. And there are studies that have been done although of course, there will likely never be physical evidence that is every 'brought back'. But at that point one would look at brain/body physiology, what science believes about consciousness and then all the verifiable 'evidences' like blind people seeing what is going on around them while their dead bodies are being worked on, who they see in the room, the psychological changes they experience, sometimes the dramatic hearings from terminal illness. It's an utterly fascinating subject.
This is a video of one of Dr. Alexander's talks in case anyone is curious.