Is even absurd because it seems that every time the brain blacks out the "soul" immediately goes out and don't have any recollection of that period, without any relevant exceptions.
I guess it must be a coincidence.

Actually, there are many relevant exceptions; you should firstly be aware that the research of Thonnard, et al. shows that memories during near-death experiences (NDE) are AT LEAST AS REAL as valid memories. The brain cannot function (i.e. have perceptions, form memories, etc.) until blood flow is restored, so a cardiac arrest patient with no brain function cannot possibly have perceptions (or even hallucinate) during that time before blood flow is restored, and yet this is what happened in numerous case studies, e.g. AWARE, Pam Reynolds, etc.
As another example, in the Eisenbeiss case, it seems that the only pragmatic way to avoid the conclusion of life after death is for the skeptic to claim fraud as the primary explanation. Is there any 100% reliable evidence indicating that the Eisenbeiss case is an example of fraud? Is there any piece of reliable evidence that a skeptic can cite in favor of the fraud hypothesis? If not, then the fraud hypothesis is asserted without evidence and can be dismissed without evidence; conclusion: the Eisenbeiss case is not the result of fraud, and therefore it is most easily explained as a genuine example of after-death communication.
The Eisenbeiss case is one of the top cases demonstrating the survival of the human personality after the demise of the physical body:
http://www.aeces.info/Top40/top40-main.shtml