What happens to the deferred debt if either the pre-emptive holder or the buyer dies, assuming death causes the debt to become immediately due?

Primary text

If the pre-emptive holder takes the property with a deferred price and either he or the buyer dies, and the debt is deemed immediately due upon death, the debt becomes due only upon the deceased party. This is because death is the specific cause for the debt acceleration, and this consequence is restricted to the party whose obligation it was.