That's a nice parallel to the article, which points out that the biggest fans of capitalism haven't managed to actually create their predicted free markets.
Bengal's famine occurred because British imperial government (not market forces) shifted food resources away to support the war effort. Ireland's famine occurred within a largely feudal system, and has been followed by massive land reforms within Ireland. It is arguable if either occurred due to "free market forces". For what it's worth, the massive famines in the USSR and PRC didn't take place due to free market forces either.
The problem with the free market vs Marxism argument is that they are both materialist. These systems know the price of things and real value of nothing.
I cannot reply to the link in the Irish famine above. Very debatable if most of Ireland was "capitalist" at the time especially outside the cities. It was mostly feudal, with an anglicised (or effectively English) aristocracy and peasantry, operating in basically the same way that they had done in the Middle Ages.
Pure ideology.