For Durable Invaders from Habsburg Monarchy (Livestock Colony) Level 4, what exactly counts as a ‘Destroy all’ effect?

For Durable Invaders from Habsburg Monarchy (Livestock Colony) Level 4, what exactly counts as a ‘Destroy all’ effect?

Only “Destroy everything” or “Destroy all (piece) (in a land or lands)”, like “Destroy all Explorer/Town.” Effects limiting the destruction by something the piece has or did (e.g., “is damaged”, “was just moved”, “has Strife”) are not considered “destroy all” and are converted to Damage like all other destroy effects.
This is most relevant for Ocean's Hungry Grasp, which has “After Invaders/Dahan are moved into the Ocean, Destroy them”; since this limits what gets destroy to “pieces that moved”, it's not a “destroy all”.