No. Not all screenings/tests are done, even when it's super low cost and non-invasive. 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. They should not even merit consideration in choosing whether to undertake a screening (this information should only be used
after a screening is done, to determine follow-up action).
In my opinion, the only justifiable factors are probably along the lines of:
- invasiveness (e.g. if it's non-invasive or minimal cost)
- benefit to the patient if detected
- cost relative to other screenings/actions that can be done for the patient
Everything else seems strictly suboptimal.
[1]: https://en.wikipedia.org/wiki/Cancer_screening#Risks
In my opinion, the only justifiable factors are probably along the lines of:
- invasiveness (e.g. if it's non-invasive or minimal cost)
- benefit to the patient if detected
- cost relative to other screenings/actions that can be done for the patient
Everything else seems strictly suboptimal.
[1]: https://en.wikipedia.org/wiki/Cancer_screening#Risks