To me, losing a prop on a single-engine tractor aircraft means instant loss
of power, an aft CG outside of the envelope, and a life-threatening
encounter with the earth's gravitational pull.

Can't speak for all planes but single engine Cessna's can lose the prop
and not get anywhere near the aft CG. I have already done that
calculation for my 182. Lose the prop and I don't even get to the back
half of the CG envelope.