No, that would not work. Any energy transferred by the bullet would move that which it contacted in the same direction. If any brain absorbed that energy and exited the other side, it would only TAKE AWAY from some of the energy transferred to the rest of his head, but this would never dissipate 100% of that energy and there would still be some force on the rest his head in the direction of the bullet’s movement.
“Sucked out” and “blown out” cause different reactions.
Think of it this way: if you shoot an Aluminum can filled with water, even though some water will fly out the back, the momentum of the bullet will still always knock the can AWAY from the shooter; same concept here.
As far as explaining the video: I don’t know, maybe it was a reflex action or something.
(Note: It takes a lot to gross me out.)