I mean, famines happened because sometimes there would be a shortage of food, perhaps due to drought, or a sudden increase in population not matched by an increase in food production. Prices would go through the roof. Rich people could afford the new prices and persevered. Poor people died of hunger. But if the poor mustered enough gold, they could go buy food like rich people did.
So my question is, do you consider famines shortages? If not, what even is a shortage? In yes, how is labour shortage any different, except in scale?