The conjecture assumes durable goods, so it doesn't apply to medicine. Also no resale, so that narrows the scope even more.
The gist of the conjecture is that if the customers can wait out for price drops and the monopolist wants to sell their thing, then after a few rounds of "he knows that we know that..." the price ends up to be the marginal cost.
Now, real world disagrees with the model, so next steps are to examine why this happens and maybe discover some new economic interaction.