No matter what the circumstances of the individual, everything goes into the communal pot.
Today, I had a hunter die of starvation within moments of another hunter depositing venison in the storehouse. I've had fishermen die of starvation as well.
Such dedicated people! The food production people don't hold out anything in times of shortage but kick it all into the general pot while starving, then they don't seem to have first dibs on the pot.
If the food is not available at the abode of the victim, even if he has hands full of it, he can starve before he gets to table. Very monastic and ascetic.