Basic Terminology

Safe spot coordinates: The (x, y, z) coordinates where the Prince would respawn if he died at this immediate moment.
Safe spot load: Data for area(s) that would be loaded if the Prince died at this immediate moment.
Safe spot: Combination of safe spot coordinates and safe spot load (and any other relevant respawn-related data).
Safe zone: A walkable surface that - upon being touched and without external game events that cause a safe spot update - has the ability to update the Prince's safe spot to his current coordinates.

Game Booleans

When the game is running and not in a menu / loading screen, each of these Booleans has a true/false value at all times:

freezeSafeSpot: if true then safe spot is frozen as you walk over a safe zone; otherwise (with some rare exceptions) safe spot updates as you walk over a safe zone.
preserveFreezeOnDeath: if true and freezeSafeSpot is true then freezeSafeSpot stays true after death; in all other cases freezeSafeSpot becomes/stays false after death.
preserveFreezeOnCorruptionEscape: if true and freezeSafeSpot is true then freezeSafeSpot stays true after escaping corruption; in all other cases freezeSafeSpot becomes/stays false after escaping corruption.

z storage ("zero" storage) [Default]: Any state in which freezeSafeSpot is false.
d storage ("death" storage): Any state in which freezeSafeSpot is true.

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The player always has exactly one primitive storage state.

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r storage ("recursive" death storage): Any state in which preserveFreezeOnDeath is true.
c storage ("corruption" death storage): Any state in which preserveFreezeOnCorruptionEscape is true.
poo storage (Fake death storage): Any state in which the safe spot coordinates (but not necessarily the safe spot load) are being constantly updated to a constant point.