Does a food source stay exhausted when the Predators event card is pushed off the board?

Question

Accepted Answer

The food source stays exhausted until the Threat Action is resolved. If the card is pushed off unresolved, a second food source on the next closest tile is exhausted, or each player takes a Wound if none is available.

Robinson Crusoe: Adventures on the Cursed Island

Does a food source stay exhausted when the Predators event card is pushed off the board?