Possible alternate title: "People with early onset Alzheimer's frequently forget to get flu shots".
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And no, checking whether they had it beforehand doesn't help, it starts to develop many years before its symptoms are so strong that you identify them as Alzheimer's, forgetting rare and optional appointments certainly wouldn't be enough to say it is Alzheimer's yet. That is why scoring well on an IQ test also "protects against Alzheimer", it isn't that the IQ test protects you, it is that the IQ test can detect effects of Alzheimer's before a diagnosis can see it.