The principle of comparative advantage says that, in a free market, any agent should produce more of the goods for which they have a comparative advantage. The model is usually applied to advocate for the benefits of international trade. This answer to another question has a great explanation of the theory. In the same answer, some commenters criticized the application of the principle to international trade as misleading.
I got curious about that critiques, so decided to ask a new question: what are some critiques of that model?