Prior to undertaking nursing training,
I had been witness to the moment of death,
many times, from childhood farmyard animal
killings - through animal hunting,
& accidental road deaths - strangers & friends.
I was freaked a bit, as a child, & then later when
killing by my own hand, & also when feeling useless
to affect/stop the process in an accidental situation.
I can't say I felt a soul, but the body does react..
both mine & those who were very near death..
I'd say this previous 'demystification' helped me
develop a 'professional' outlook to manage deathly
incidents in my role as nurse, with the unexpected,
VS timely, being a caveat, of course..
However, as to the O.P. question, I have tried to
'sense' the 'soul passing' as a matter of interest..
I have always been devoid of a 'supernatural belief'
values system so it was more of a curiosity, esp'
having had a 'near-death' experience myself..
But no, I was unable to 'feel' anything but the natural
expected post-cessation of vital signs processes..
..with one exception..
Working in a private medical hospital which was a
defacto hospice, having a contract with the state
base hospital to take terminal cases ( so as not
to have them on mortality stats) I was as night-charge,
able to catch a few zzzzz.. (while on call, with a pager)
One night, during that strange 'sleep paralysis' feeling,
when you are not certain that you are awake, but your body
isn't - or if you are actually dreaming - that you are right there..
I felt a vivid sensation of the 'souls' of those who'd died there
rushing past, akin to standing at a railway platform as an
express train booms by..
Being a natural sceptic, I rationalized this weird experience as
being an artifact of tiredness, with an overlay of sub-aware
cognitive dissonance/tension for being 'asleep on duty', which
previously was - a def' no-no, through most nursing duties..