The importance of the issue is that, IF 'some' humans do have these unusual experiences and can do stuff others cannot, it could be very valuable to know why, and to use the data/ability for the 'greater good'. I am a science fiction fan, and would LOVE to know that telepathy and precognition and telekinesis... etc... are genuine, even if not by me.
Anecdotes are fascinating, but sorting true anecdotes from 'just stories' is hard. Replicibility under controlled conditions would be wonderful.

I was just reading today an article by Stephen J. Gould about 'continental drift', and how it was flatly denied for decades because no one could imagine the mechanism by which it could occur. Once a new theory was developed, along with new science, that explained how even old data supported it, everyone was suddenly on board!
We need SOME idea how telepathy might work. that is, something that can be measured... not just language about "I felt it".

One has the experience one has... and I would never doubt they had it, but base cause is another matter.