Ishamael tried ripping out Rand's soul in the heart of stone at the end of TDR. It only failed when Rand grasped Callandor and started pulling on the OP through it.
No evidence at all that it has anything to do with a soul. It would be an alien consciousness taking over Rand's body or place in the world if they won, but it was a physical struggle, not anything to do with a soul.
If you want someone held in place, you can simply tie them up with Air. If you want someone dead... There are thousands of ways to do it, and exactly WHAT are you supposed to "do" with their soul?
Perhaps if the ways and hows of Shadar Logoth's brand of magic were wide spread or commonly known, there would be more of a market for just going around ripping peoples souls out, but... They aren't, and there isn't.
Yeah, this could be all bullshit, but its how I reconcile my own belief in metaphysical existence with fiction which features ghosts and psychic phenomena and the use of souls. When you sell your soul to a demonic entity, you can't actually do that, so what you are actually giving up is a higher level of existence, that will almost certainly result in your damnation when THAT level ends and you go on to your eternal reward, but for it to mean anything, the only thing that effect THAT end is your own actions and mentality, your ability to align yourself in tune with a higher state of being, to sing along with the music of Iluvatar, for an example. If whether you go to heaven or hell is affected by the actions of a third party, heaven and hell don't mean anything. So they are pit stops along the way, for that spirit-body, that intermediate level beyond the physical, but which in genre fiction, really manifests and interacts with the physical.
Honestly, I've never really understood the compulsion some people have with meshing IRL belief with fictional universes.
I mean, I love delving into the metaphysics of settings I love. It's like looking at the inner workings of a clock, and can really help the setting come alive in my imagination, but... Well, it's fictional.
However good a setting is, what in the world does how some writer setup their fictional world to work have to do with IRL?
To me, that line of thinking has always just kind of came off as if some devout atheist had problems even conceptualizing the mere "existence" of religion. Like... They spend hours just staring at the outside of churches, honestly never quite managing to comprehend exactly what such a building could possibly be used for.
Anyway... What your describing... Well, it IS a soul. A different part of one, perhaps, but your basically having to do back flips and tie yourself into knots just to avoid labeling it as such.
WoT is a setting where souls are perfectly "intractable"... Hell, one interesting little bit of trivia, is that in WoT, you don't even need any magic power to detect a soul. The lack of one is simply something one can feel with a touch, as Verin did with that Ogier in TGH... Which is also how we know that it is indeed the soul that goes to TAR, as when Perrin wakes up after having went too deeply into TAR in WH ch.5, Berelain tells him: "[Annoura] said you almost felt like someone who had lost his soul, cold no matter how many blankets were piled on you. I felt it, as well, when I touched you.".
Also of note regarding Perrin and souls, is the fact that having the remnants of Hoppers soul inside of him is how Perrin can cross into TAR physically at will. Some of said remnants also seeming to of been placed into Perrin's hammer to grant it it's abilities.
And really... I'm not really sure what your issue with "human interaction" is, given that the entire setting basically revolves around people tapping directly into the power of God... Hell, enough of the OP is flat out capable of destroying the likes of the Creator and Dark One.... You'd think the likes of them would rank a little higher on the invincibility meter then the human soul.
Particularly given that the effect that having either the Light or the Shadow removed from a person has on their eyes, would kind of imply that everyone's soul is MADE of a small part of the Creator and Dark One... Hell, my head canon/meshing of what little we're told for the WoT afterlife is that those parts simply return to sender between lives. Heaven and hell thus less being a "judgment" cast on them(which doesn't really fit with the Creator being so pro "do as you will" anyway), so much as simply the balance of good and evil in their soul deciding how much of their soul ends up with which until it is time to be born again.