> For example, one factor that is used to determine whether to screen for certain types of cancer is "Possible harms from follow-up procedures". [1] Another factor that is taken into account it the chances of a false positive. [1] Both of these factors are irrational, since more information is strictly optimal given a rational agent.
Your entire argument here seems to require patients to be rational agents. They aren't.
Your entire argument here seems to require patients to be rational agents. They aren't.