My take: Comparative advantage as I understand it is about specializing and being better off for it (in simplistic terms).

So Eliezer is hinting that you should become good at thing X where X isn't cooking and pay for someone who has specialized in cooking to cook for you, and you'll both be better off.

Edit: I think he phrased it in the way (Economics laureate etc) as parody and to highlight the appeal to authority in the original (why should a poet laureate, no more than a normal poet or any other person what the secret to happiness was).

</ humour destruction through explanation>