Your thought experiment intrigues me in this, my state of gradually faltering mental accuity. Surely it is the balance of pulls to which our Earthly tissues have adapted in their long evolutionary progression.
Yet, as you have illuminated, there might be places within each black hole where there is a balance of pulls, bringing a body's various internal systems to a state of rest which could greatly, or not so greatly, vary in its balance from one square inch (or centimeter) to the next.
Whale of a post there!
Mike