There was nothing "free market" about the slave trade since the commodities were stolen to begin with. Nor with the drug trade since the requirement of freely available information is violated.
Your misunderstanding of economics is hard to overcome within a limited time and space. But that is all it is -a misunderstanding. Economics was not created to be like physics and no economists makes such a claim. Initially it was call "moral philosophy" then "political economy" and used logic, and eventually more and more math to spread its concepts and applicability. That can be taken to extremes which is a valid objection. But that approach has also led to valuable insight.
What is your alternative to "rationality", math and logic?
XIX century England fought the Opium War against China in the name of free trade and human freedom. The information was freely available then.
There was nothing "free market" about the slave trade since the commodities were stolen to begin with.
Not true, in most of history the large part of slaves was legally acquired, some became slaves because of debts (in free market Rome or Greece), others were enslaved as a result of war (their life was spared in exchange), others were born as slaves.
What is your alternative to "rationality", math and logic?
I am not against math used properly, but building intricate/complex math models in economics or psychology is a pretentious and silly imitation of physics. But I am all for logic, which unfortunately is missing here.