Yes, the burden of proof HAS shifted;
So now you want people to prove that your personal afterlife doesn't exist?
No, I want you to behave rationally and evaluate evidence like a scientist.
I want you to evaluate the evidence, and then propose an explanation for it.
The evidence is generally thought to be so overwhelming
that an explanation not involving the survival hypothesis
(the idea that some personalities survive death, some of the time)
is not plausible in the least.
Then this ideal would have to focus on all religions and not just the more common western world religions.
The page you posted shows that there are numerous similarities and 90 percent of those on your list explain the same visions and can thus be concluded as a near death experience based on past events or studies.
Now the tricky part is knowing what to experience, which is dictated heavily by your culture and background. Christians, Hindu, Buddhist, Islamic, and Vedic near death experiences are going to be different as they each have their own pre-defined belief system.
So you cannot prove near death experience to be true unless you can control a study that produces equal results among people who fall within the same religion or pre-defined belief system. This goes deeper than the most modern religions.