You may attempt to apply the same analogy to drinking water, and see that it doesn't work.
If you drink as much as you want, then you'll probably drink too much (with whatever negative consequences arising as a result).
But, except for some extreme circumstances, I don't think people drink much more than is necessary to quench their thirst.
That is your conclusion might still be correct, but it doesn't follow from the analogy with eating.
That is your conclusion might still be correct, but it doesn't follow from the analogy with eating.