Can spells that stabilize you when you would die protect you from death by massive damage?

Characters die from damage when their health is reduced below their negative Constitution score. However, some spells stabilize you when you would die. Can these spells save you from the massive damage rule?

For example, Shadow Endurance says:

If you are reduced below 0 hit points or rendered unconscious, shadow endurance immediately discharges, shunting your injured body into a hidden alcove on the Shadow Plane.

You immediately stabilize, but cannot awaken or take any further actions until the second duration expires.

Nine Lives does something similar:

Rejuvenate: The target uses this ability when it is reduced to 0 or fewer hit points. The target is instantly healed 3d6 points of damage. If enough hit points are regained to bring the target to positive hit points, it does not fall unconscious. If it is not enough to leave the target with positive hit points, the target automatically stabilizes. Both of these effects work even if the damage was originally enough to kill the target.