It’s worth remembering that there is often a conflict of interest between the system and the individual.
An example where I’m from is train station escalators. There is an unwritten social rule that you stand on the left, and let anyone who is in a hurry walk down on the right. This benefits the individuals because if you’re in a hurry you can get through faster, and if you’re not you don’t care. But the rail company has constant announcements telling people not to do this, and to stand on both sides of the escalator, because a full escalator clears the platform much faster.
These announcements are largely ignored. No individual cares about clearing the platform, even though it is the best thing for the rail network as a whole (crowded platforms cause delays). I would also argue that the needs of the few people running to get to work are more important than improving network efficiency. But the job of the very intelligent, well informed boffins who make the announcements is to make the trains run on time, so the announcements continue.
In this case too, I think the FAA have a different set of priorities to the passengers, and they really don’t care about your medicine. Probably if there is an emergency they will send an employee back into the plane to grab your bag, as a one-off exception. If they’re too slow and you die, too bad—-should have had extra medicine in your shoe.
Policy is created to achieve institutional goals; individual needs are an afterthought at best.