In case it helps you sleep at night, know that victims are not conscious while being swallowed.
You will however know that you're being "wrapped".
When done wrapping, the snake begins to constrict and the victim is unconscious within a couple seconds. This is because the constriction stops all blood circulation. In addition, constrictors do wait about a minute or so while wrapped which probably ensures there's no post squeeze awakening.
I saw a show once where they measured the pressure of a constrictor by putting a measuring cuff around a rabbit - 90 psi!
Thank you for the summary.
May I add that some of these large python snakes lubricate their dead constricted prey before swallowing them.
90 psi is a lot, three times the pressure carried in most automotive tires.